References of "E-prints/Working papers"      in Complete repository Arts & humanities   Archaeology   Art & art history   Classical & oriental studies   History   Languages & linguistics   Literature   Performing arts   Philosophy & ethics   Religion & theology   Multidisciplinary, general & others Business & economic sciences   Accounting & auditing   Production, distribution & supply chain management   Finance   General management & organizational theory   Human resources management   Management information systems   Marketing   Strategy & innovation   Quantitative methods in economics & management   General economics & history of economic thought   International economics   Macroeconomics & monetary economics   Microeconomics   Economic systems & public economics   Social economics   Special economic topics (health, labor, transportation…)   Multidisciplinary, general & others Engineering, computing & technology   Aerospace & aeronautics engineering   Architecture   Chemical engineering   Civil engineering   Computer science   Electrical & electronics engineering   Energy   Geological, petroleum & mining engineering   Materials science & engineering   Mechanical engineering   Multidisciplinary, general & others Human health sciences   Alternative medicine   Anesthesia & intensive care   Cardiovascular & respiratory systems   Dentistry & oral medicine   Dermatology   Endocrinology, metabolism & nutrition   Forensic medicine   Gastroenterology & hepatology   General & internal medicine   Geriatrics   Hematology   Immunology & infectious disease   Laboratory medicine & medical technology   Neurology   Oncology   Ophthalmology   Orthopedics, rehabilitation & sports medicine   Otolaryngology   Pediatrics   Pharmacy, pharmacology & toxicology   Psychiatry   Public health, health care sciences & services   Radiology, nuclear medicine & imaging   Reproductive medicine (gynecology, andrology, obstetrics)   Rheumatology   Surgery   Urology & nephrology   Multidisciplinary, general & others Law, criminology & political science   Civil law   Criminal law & procedure   Criminology   Economic & commercial law   European & international law   Judicial law   Metalaw, Roman law, history of law & comparative law   Political science, public administration & international relations   Public law   Social law   Tax law   Multidisciplinary, general & others Life sciences   Agriculture & agronomy   Anatomy (cytology, histology, embryology...) & physiology   Animal production & animal husbandry   Aquatic sciences & oceanology   Biochemistry, biophysics & molecular biology   Biotechnology   Entomology & pest control   Environmental sciences & ecology   Food science   Genetics & genetic processes   Microbiology   Phytobiology (plant sciences, forestry, mycology...)   Veterinary medicine & animal health   Zoology   Multidisciplinary, general & others Physical, chemical, mathematical & earth Sciences   Chemistry   Earth sciences & physical geography   Mathematics   Physics   Space science, astronomy & astrophysics   Multidisciplinary, general & others Social & behavioral sciences, psychology   Animal psychology, ethology & psychobiology   Anthropology   Communication & mass media   Education & instruction   Human geography & demography   Library & information sciences   Neurosciences & behavior   Regional & inter-regional studies   Social work & social policy   Sociology & social sciences   Social, industrial & organizational psychology   Theoretical & cognitive psychology   Treatment & clinical psychology   Multidisciplinary, general & others     Showing results 1101 to 1176 of 1176     7 8 9 10 11 12 Regulation on Advertising, Sponsorship, Teleshopping and Self-PromotionCole, Mark E-print/Working paper (2008)Detailed reference viewed: 35 (0 UL) Law, corporate governance and financial system: Econometric analysis of French caseGuigou, Jean-Daniel ; Boughanmi, Afef; Blazy, Régis et alE-print/Working paper (2008)Detailed reference viewed: 35 (0 UL) Glas- und Kristallerzeugung in der Großregion SaarLor-LuxMendgen, Eva; Pauly, Michel ; Caruso, Geoffrey et alE-print/Working paper (2008)Die Kunst des Glasmachens gehört seit dem Beginn des 15. Jahrhunderts zu den wichtigsten und erfolgreichsten Industriezweigen der Großregion. Die für die Glasherstellung benötigten Rohstoffe waren im ... [more ▼]Die Kunst des Glasmachens gehört seit dem Beginn des 15. Jahrhunderts zu den wichtigsten und erfolgreichsten Industriezweigen der Großregion. Die für die Glasherstellung benötigten Rohstoffe waren im Überfluss vorhanden, die jeweiligen Landesherren förderten die Ansiedlung der Glasmacher. Von Südlothringen aus verbreitete sich die Kunst des Glasmachens in Richtung Norden, an die Saar und nach Wallonien. Eine besondere Herausforderung für Regierende, Unternehmer (Investoren) und Arbeiter bedeutet(e) die geopolitische Lage der Glashütten im Herzen Europas, zwischen deutschem und französischem Einflussbereich. Trotz der durch zahlreiche Kriege und Grenzverschiebungen erschwerten Bedingungen entstanden am Westrand der Vogesen, im Bitscher Land, an der Saar und in Wallonien ab dem 18. Jahrhundert einige der wichtigsten, größten und innovativsten Glas- und Kristallglashütten Europas. Einige von ihnen setzen bis heute weltweit Qualitätsmaßstäbe in Handwerk und Design. [less ▲]Detailed reference viewed: 71 (4 UL) Loss Functions in Option Valuation: A Framework for SelectionLehnert, Thorsten ; Wolff, Christian ; Bams, DennisE-print/Working paper (2008)Detailed reference viewed: 73 (0 UL) An Experimental Analysis of Optimal Renewable Resource Management:The FisheryNeugebauer, Tibor ; Hey, John D; Sadrieh, AbdolkarimE-print/Working paper (2008)Detailed reference viewed: 60 (1 UL) Die Verehrung Unserer Lieben Frau von LuxemburgKmec, Sonja ; Pauly, Michel ; Caruso, Geoffrey et alE-print/Working paper (2008)Die Karte zeigt die Verbreitung der Verehrung Unserer Lieben Frau von Luxemburg (Trösterin der Betrübten oder Consolatrix Afflictorum) seit dem 17. Jahrhundert am Beispiel der Kapellen, Altäre und Statuen ... [more ▼]Die Karte zeigt die Verbreitung der Verehrung Unserer Lieben Frau von Luxemburg (Trösterin der Betrübten oder Consolatrix Afflictorum) seit dem 17. Jahrhundert am Beispiel der Kapellen, Altäre und Statuen, die ihr gewidmet wurden. [less ▲]Detailed reference viewed: 88 (7 UL) Are Capital Controls in the Foreign Exchange Market Effective?Wolff, Christian ; Straetmans, Stefan T.M.; Versteeg, Roald J.E-print/Working paper (2008)Detailed reference viewed: 57 (0 UL) Geld aus der Region für die RegionNienaber, Birte E-print/Working paper (2008)m 1. Juni 1998 nahm die Europäische Zentralbank ihre Arbeit auf, und das Europäische System der Zentralbanken startete die Vorbereitungen zur Einführung der Währungsunion. Zehn Jahre später gibt es in ... [more ▼]m 1. Juni 1998 nahm die Europäische Zentralbank ihre Arbeit auf, und das Europäische System der Zentralbanken startete die Vorbereitungen zur Einführung der Währungsunion. Zehn Jahre später gibt es in Deutschland jedoch 33 Regionen mit eigenen Währungen. Über 40 weitere Initiativen planen, regionales Geld – in Konkurrenz zum Euro – in Umlauf zu bringen. Die so genannten Regios sollen die lokale Wirtschaft stärken und negative Folgen der Globalisierung mindern. [less ▲]Detailed reference viewed: 38 (1 UL) Integer Complexity: Breaking the θ(n2) barrierVenkatesh, Srinivas Vivek ; B. R., ShankarE-print/Working paper (2008)The \textit{integer complexity} of a positive integer $n$, denoted $f(n)$, is defined as the least number of 1's required to represent $n$, using only 1's, the addition and multiplication operators, and ... [more ▼]The \textit{integer complexity} of a positive integer $n$, denoted $f(n)$, is defined as the least number of 1's required to represent $n$, using only 1's, the addition and multiplication operators, and the parentheses. The running time of the algorithm currently used to compute $f(n)$ is $\Theta(n^{2})$. In this paper we present an algorithm with $\Theta(n^{\log_{2}3})$ as its running time. We also present a proof of the theorem: the largest solutions of $f(m)=3k,\,3k\pm1$ are, respectively, $m=3^{k},\,3^{k}\pm3^{k-1}$. [less ▲]Detailed reference viewed: 123 (14 UL) Dequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fieldsFrégier, Yaël; Mathonet, Pierre ; Poncin, Norbert E-print/Working paper (2008)Detailed reference viewed: 37 (3 UL) On maximal independent sets in circulant digraphsBisdorff, Raymond E-print/Working paper (2007)In this research note we introduce St-Nicolas graphs, i.e. circulant digraphs showing exactly n maximal independent sets, isomorph under the digraph’s automorphisms group. This class of digraphs represent ... [more ▼]In this research note we introduce St-Nicolas graphs, i.e. circulant digraphs showing exactly n maximal independent sets, isomorph under the digraph’s automorphisms group. This class of digraphs represent a generalisation of Andrásfai graphs with interesting links to finite group theory. [less ▲]Detailed reference viewed: 20 (1 UL) Mittelalterliche Hospitäler in der Großregion SaarLorLux (von 600 bis 1500)Pauly, Michel ; Pauly, Michel ; Caruso, Geoffrey et alE-print/Working paper (2007)Im Raum zwischen Rhein und Maas, Aachen und Basel gab es zwischen 600 und 1500 insgesamt, wenn auch nicht gleichzeitig 528 verschiedene Hospitäler, also Herbergen für Reisende und Pilger, Armenhospize ... [more ▼]Im Raum zwischen Rhein und Maas, Aachen und Basel gab es zwischen 600 und 1500 insgesamt, wenn auch nicht gleichzeitig 528 verschiedene Hospitäler, also Herbergen für Reisende und Pilger, Armenhospize, Krankenhäuser, Entbindungsanstalten, Waisenheime, Pflegeheime für alte Menschen, Seniorenheime für reiche Pfründner u. ä. Beitrag und Karte fassen die Ergebnisse der Habilitationsschrift des Autors über „Hospitäler zwischen Maas und Rhein im Mittelalter. Typologische, topographische, funktionale und spirituelle Aspekte“ zusammen. [less ▲]Detailed reference viewed: 53 (6 UL) Financial versus Social Efficiency of Corporate Bankruptcy Law: the French Dilemma ?Guigou, Jean-Daniel ; BLAZY, Régis ; CHOPARD, Bertrand et alE-print/Working paper (2007)Detailed reference viewed: 69 (0 UL) Bid and price effects of increased competition in the first-price auction: experimental evidenceNeugebauer, Tibor E-print/Working paper (2007)Detailed reference viewed: 31 (1 UL) Relative Performance Evaluation, Risk Aversion and EntryGuigou, Jean-Daniel ; Lovat, Bruno; Piaser, Gwenaël E-print/Working paper (2007)Detailed reference viewed: 21 (0 UL) Towards an Atlas of Folksong Idioms (online publication of a presentation at the conference of the International Musicological Society at Zurich)Sagrillo, Damien E-print/Working paper (2007)Detailed reference viewed: 22 (0 UL) Gestes, pratiques, corporéité et polyfocalisation de l’action dans le travail de techniciennes de surface.de Saint-Georges, Ingrid E-print/Working paper (2007)Detailed reference viewed: 80 (0 UL) Autoindustrie in der Großregion SaarLorLux 2007 - Produktion, Forschung, AusbildungSchulz, Christian ; Dörrenbächer, Peter; Pansch, Holger et alE-print/Working paper (2007)Die Automobilindustrie gilt in der Großregion als wichtiger Pfeiler des wirtschaftlichen Strukturwandels. Eine Vielzahl teils hoch spezialisierter Zulieferer und Dienstleister prägt heute die ... [more ▼]Die Automobilindustrie gilt in der Großregion als wichtiger Pfeiler des wirtschaftlichen Strukturwandels. Eine Vielzahl teils hoch spezialisierter Zulieferer und Dienstleister prägt heute die Unternehmenslandschaft und stellt einen Großteil der industriellen Arbeitsplätze. Die Karte zeigt alle Betriebe des Sektors ab 500 Beschäftigten im Jahr 2007. Aufgrund der durch die Allgemeine Wirtschaftskrise ab 2008 aufgetretenen tief greifenden Veränderungen der Branche wurde dieser Beitrag durch einen zweiten, ausführlicheren Beitrag zur Autoindustrie der Großregion 2011 (C.K. Hahn, GR-Atlas Vol. 27) ergänzt. [less ▲]Detailed reference viewed: 83 (8 UL) Naturräumliche Gliederung der Großregion SaarLorLuxSchneider, Thomas; Pauly, Michel ; Caruso, Geoffrey et alE-print/Working paper (2007)The paper shows and explains the natural classification of the Greater Region SaarLorLux, following a consistent concept. The natural regions, their main groups as well as the natural space units, were ... [more ▼]The paper shows and explains the natural classification of the Greater Region SaarLorLux, following a consistent concept. The natural regions, their main groups as well as the natural space units, were created according to the concept of Meynen & Schmithüsen (1953-1962). [less ▲]Detailed reference viewed: 61 (1 UL) Luxemburg und Siebenbürgen 2007Fehlen, Fernand E-print/Working paper (2007)Detailed reference viewed: 170 (8 UL) Wie Städte entstanden vornehmlich im mittelalterlichen und frühneuzeitlichen NordwesteuropaPauly, Michel E-print/Working paper (2007)Detailed reference viewed: 60 (1 UL) The financing of the European UnionMaufort, Laurence E-print/Working paper (2007)The European Union is a unique and exceptional organisation in many respects. Its financial system, whose rules and structure are very different from those of national budgetary law, has changed a great ... [more ▼]The European Union is a unique and exceptional organisation in many respects. Its financial system, whose rules and structure are very different from those of national budgetary law, has changed a great deal and is still changing. The most significant changes include: — The unification of budgetary instruments. Initially, each Community had its own budget or budgets (administrative and operating). These have now been replaced by a single budget, the general budget of the European Union. — Progress towards financial autonomy. Following the example of the ECSC, which was financed by real ‘tax revenue’ from the time it was set up, the EEC and Euratom changed to a system of own resources on 1 January 1971. — Reform of the Community financial system. The financial perspective, a genuine multiannual financial framework and instrument of budgetary discipline, was introduced in 1988. It forms an integral part of an interinstitutional agreement between Parliament, the Council and the Commission. — The pursuit of an institutional balance between the Council, Parliament and the Commission in the exercise of budgetary power. Initially, budgetary power lay solely with the Council. Parliament and the Council subsequently became the two arms of budgetary authority. The Commission retains a right to propose legislation in that sphere. The development of the financial system of the European Union superstructure is testament to its extremely varied history encompassing five decades and six enlargements. [less ▲]Detailed reference viewed: 83 (7 UL) Mobilités pendulaires et résidentielles dans et vers le bassin d'emploi du LuxembourgFehlen, Fernand ; Pigeron-Piroth, Isabelle ; Ramm, MichelE-print/Working paper (2006)Detailed reference viewed: 123 (9 UL) Evaluation des performances relatives, risque et entréeGuigou, Jean-Daniel ; Lovat, B.E-print/Working paper (2006)Detailed reference viewed: 24 (0 UL) Tax competition, location and horizontal foreign direct investmentBehrens, Kristian; Picard, Pierre M. E-print/Working paper (2005)We develop a model of capital tax competition in which imperfectly competitive firms choose both the number of plants they operate and their location. When compared to models with single-plant firms, the ... [more ▼]We develop a model of capital tax competition in which imperfectly competitive firms choose both the number of plants they operate and their location. When compared to models with single-plant firms, the presence of multinationals reverses some standard results. First, instead of being subsidized, capital may actually be taxed in equilibrium, which shows that the presence of taxable ‘multinational rents’ relaxes tax competition. Second, even when firms are subsidized, their subsidyinclusive profits may be decreasing in subsidies, due to fiercer price competition by more multinationals. Third, multinationals may give rise to multiple equilibria in the tax game, one of which can be a ‘subsidy trap’ characterized by many multinationals, high subsidy levels, and low welfare. [less ▲]Detailed reference viewed: 98 (18 UL) Theories of Knowledge. Is a naturalised epistemology bound to leave unanswered some important epistemological questions?Graf, Lukas E-print/Working paper (2005)Detailed reference viewed: 331 (2 UL) SOLUTIONS Micro-scale modelling: method and initial resultsCaruso, Geoffrey E-print/Working paper (2005)Detailed reference viewed: 43 (0 UL) Critic of Amy Gutmann - The Constructive Potential of Communitarian Values for LiberalismGraf, Lukas E-print/Working paper (2005)The view of Amy Gutmann is that communitarians have been unsuccessful in undermining liberalism. However, she thinks that their work presents a welcome challenge to it. In her opinion, the communitarian ... [more ▼]The view of Amy Gutmann is that communitarians have been unsuccessful in undermining liberalism. However, she thinks that their work presents a welcome challenge to it. In her opinion, the communitarian criticism, rather than giving good reason to abandon liberalism, is of use in an attempt to discover a liberalism that successfully combines communitarian with liberal values. This paper examines the extent to which Gutmann successfully shows that communitarian values, like kinship, affection, or a sense of common purpose, have the latent but unrealized capacity to serve to improve liberalism. [less ▲]Detailed reference viewed: 107 (1 UL) Automutilation révoltée ou expression culturelle ? Le cas du body piercing à RomeReckinger, Rachel E-print/Working paper (2005)Detailed reference viewed: 20 (0 UL) Contracting out and labor demand elasticitiesGorg, Holger; Picard, Pierre M ; Strobl, Eric AE-print/Working paper (2005)We examine the relationship between contracting out and the wage elasticity of labor demand in outsourcing plants. A simple theoretical model suggests that firms engaged in contracting out have lower wage ... [more ▼]We examine the relationship between contracting out and the wage elasticity of labor demand in outsourcing plants. A simple theoretical model suggests that firms engaged in contracting out have lower wage elasticities. Estimating plant level dynamic labor demand equations for Irish manufacturing we find evidence supportive of this. [less ▲]Detailed reference viewed: 24 (2 UL) Präventives Sozialraummanagement: Soziales Frühwarnsystem und städtebauliche Prävention im WohnquartierBiewers, Sandra ; Kaldun, Sabine; Schubert, HerbertE-print/Working paper (2005)Detailed reference viewed: 25 (0 UL) Regulation of the Market for Standard Software: Waving Goodbye to 'Efficiency'?Zetzsche, Dirk Andreas ; Beurskens, MichaelE-print/Working paper (2005)The market for standard software shows an inexorable tendency towards concentration. Whereas such a development might be considered efficient due to the market's nature as a natural monopoly, it could ... [more ▼]The market for standard software shows an inexorable tendency towards concentration. Whereas such a development might be considered efficient due to the market's nature as a natural monopoly, it could also require stronger regulation, similar to other concentrated industries. This paper analyzes to what extent the existing legal frameworks under U.S. and European intellectual property and antitrust law mitigate pro-concentration effects. It characterizes the standard software market as an industry in need of regulation and reconsiders the current efficiency-focused approach in favor of measures that strengthen competition as a source of rivalry. Rather than considering efficiency arguments as "all-or-nothing" justification for otherwise anti-competitive conduct, as under the Chicago School concept, the concept proposed in this paper considers the "efficiency" criterion to merely limit the remedies imposed by adjudicators. [less ▲]Detailed reference viewed: 80 (1 UL) Explicit and Implicit System of Corporate Control – A Convergence Theory of Shareholder RightsZetzsche, Dirk Andreas E-print/Working paper (2004)Part B. of the paper compares the basic concepts of shareholder control in Anglo-America and some states of Continental Europe. It introduces a new categorization between Implicit and Explicit Systems of ... [more ▼]Part B. of the paper compares the basic concepts of shareholder control in Anglo-America and some states of Continental Europe. It introduces a new categorization between Implicit and Explicit Systems of Corporate Control. The first category refers to statutes that are enacted and construed with the belief that market forces influence managers. Shareholder rights to be exercised in direct contact with the corporation are thought to be relatively weak. This system is established in the Anglo-American world. In contrast, direct shareholder influence through voting and (even minority) shareholder monitoring constitute the fundaments of the Explicit System that traditionally prevailed, for example, in France and Germany. This paper provides historical, statutory and new empirical evidence from some Continental jurisdictions, and in particular Germany. It concludes that in Germany, shareholder meetings are part of Corporate Governance, while the Anglo-American corporate world traditionally understood this term to include only inter-board relationships. Part C. analyses the questions of whether, how and why Corporate Governance systems converge. This study suggests that Corporate Governance systems are likely to develop in Convergence Cycles: If a legal regime provides a particularly efficient solution to a specific problem, this solution will eventually be adopted by other Corporate Governance systems with an inferior system in respect of such problem. These Convergence Cycles will finally overcome the forces against formal convergence. The proposition of Convergence Cycles draws on historical, as well as new statutory and empirical evidence, collected by the author. Part D., finally, analyses the likely impact of convergence on ownership structures. It is likely that the answer to the question of which ownership structure is efficient depends on the stage of the business cycle that the firm is at. Firms within the same stage are likely to become more and more similar with respect to their ownership structures, until they reach an equilibrium that is set at a specific point for a particular group of firms. Thus, this paper adds a dynamic perspective to the static views that presently prevail in the debate upon the convergence of ownership structures. [less ▲]Detailed reference viewed: 101 (2 UL) Das wachsende Risiko, als “sonderpädagogisch förderbedürftig” klassifiziert zu werdenPowell, Justin J W E-print/Working paper (2004)Warum sind die Bildungschancenvon Schülern im hoch spezialisierten deutschen Sonderschulwesen so viel niedriger alsdie in den sonderpädagogischen Förderklassen der amerikanischen Gesamtschulen?Detailed reference viewed: 64 (0 UL) Special Education and the Risk of Becoming Less Educated in Germany and the USPowell, Justin J W E-print/Working paper (2004)Detailed reference viewed: 45 (2 UL) Competition over piratable goodsBelleflamme, Paul; Picard, Pierre M E-print/Working paper (2004)The effects of (private, small-scale) copying on the pricing behavior of producers of information goods are studied within a unified model of vertical differentiation. Although information goods are ... [more ▼]The effects of (private, small-scale) copying on the pricing behavior of producers of information goods are studied within a unified model of vertical differentiation. Although information goods are assumed to be perfectly horizon tally differentiated, demands are interdependent because the copying technology exhibits increasing returns to scale. We characterize the symmetric Nash equilibria of the pricing game played by n producers of information goods. We show thereby how the producers' attitudes towards piracy are interdependent and evolve with the relative attractiveness of copies. [less ▲]Detailed reference viewed: 54 (1 UL) The European Parliament and the Challenge of Internet VotingTrechsel, Alexander; Mendez, Fernando; Kies, Raphaël E-print/Working paper (2003)Detailed reference viewed: 45 (0 UL) Marco-level analysis of food-supply chain dynamics and diversity: An overview for GermanyKnickel, Karlheinz; Schaer, Burkhard; Sprenger, Birte E-print/Working paper (2003)This document is analysing the development and the state-of-the-art of food-supply chains in Germany.Detailed reference viewed: 42 (5 UL) The credibility of expert advice for regulatory decision-making in the US and EUKönig, Ariane ; Jasanoff, SheilaE-print/Working paper (2002)Detailed reference viewed: 45 (5 UL) Etat des lieux des formations et de la recherche en ethnobotanique du domaine européenReckinger, Rachel E-print/Working paper (2001)Detailed reference viewed: 29 (0 UL) Effets de complémentarité externes et incidence sur la productivité : le cas de l'industrie manufacturière luxembourgeoiseBourgain, Arnaud ; Pieretti, Patrice E-print/Working paper (2001)This article seeks to measure knowledge spillovers between nearby industries. This represents one of types of externality identified in the studies of industry location. A spillover indicator is suggested ... [more ▼]This article seeks to measure knowledge spillovers between nearby industries. This represents one of types of externality identified in the studies of industry location. A spillover indicator is suggested which can explain increasing returns at the aggregate level. It is shown that this indicator is positively related to industry diversity. As applied to data from Luxembourg’s manufacturing industry, this indicator suggests that labor productivity is increasing in industry diversity. [less ▲]Detailed reference viewed: 59 (0 UL) Daten und Fakten zu Migrantenjugendlichen an Sonderschulen in der Bundesrepublik DeutschlandPowell, Justin J W ; Wagner, Sandra J.E-print/Working paper (2001)Zwischen 1965 und 1994 hat sich die Zahl der nichtdeutschen Schüler/innen in der Bundesrepublik Deutschland verzwanzigfacht. Seit dem Jahr 1991 gehen mehr als eine Million Schüler/innen mit ... [more ▼]Zwischen 1965 und 1994 hat sich die Zahl der nichtdeutschen Schüler/innen in der Bundesrepublik Deutschland verzwanzigfacht. Seit dem Jahr 1991 gehen mehr als eine Million Schüler/innen mit ausländischem Pass in (west-)deutsche Schulen; d.h. circa jede/r zehnte Schüler/in hat eine nichtdeutsche Staatsangehörigkeit. Über diese zahlenmäßige Präsens hinaus bieten die Vergleiche zwischen deutschen und nichtdeutschen Schülern/innen allgemein und zwischen deutschen und nichtdeutschen Sonderschülern/innen eine Perspektive, welche die Herausforderungen des Bildungssystems der Bundesrepublik Deutschland in ihrer Institutionalisierung und Expansion darstellt. Gleichzeitig stellen „in der BRD (...) die Ausländerkinder eine Gruppe dar, der im Bildungswesen besondere Aufmerksamkeit gewidmet werden muß, wenn sie nicht schulisch erheblich benachteiligt werden soll“ (Arbeitsgruppe Bildungsbericht am MPIB, 1994: 364). Von 1970 bis 1979 stieg der Anteil nichtdeutscher Schüler/innen an den Sonderschulen im Vergleich zu den Schülern insgesamt kontinuierlich an (Trommer/Köhler 1981: 130). Dieser Trend setzte sich fort, so dass bis 1999 nahezu 15% aller Sonderschüler/innen nichtdeutscher Herkunft waren, obwohl Schüler/innen nichtdeutscher Herkunft nur 9,4% aller Schüler/innen in der Bundesrepublik ausmachten. Das bedeutet für 1999 eine Überrepräsentanz ausländischer Kinder und Jugendlicher an deutschen Sonderschulen von 1,56. Parallel dazu zeigen die folgenden Analysen eine hohe Varianz zwischen den Bundesländern in der Sonderschulzuweisung nichtdeutscher Schüler/innen sowie unter den europäischen Nationalitäten (im Schuljahr 1998/99: von 0,5% bis hin zu 13,6%). Zugleich gibt es historisch Verschiebungen in der Begründung des Förderbedarfs zwischen dem größten Förderschwerpunkt „Lernen“ (von 82% auf 54% zwischen 1970-98) und anderen Kategorien des Förderbedarfs, die an Bedeutung gewonnen haben. Regionale Unterschiede in der Verteilung von Migrantenjugendlichen unter den einzelnen Sonderschularten sind u.a. Ausdruck der Differenzen in der Bildungs- bzw. Schulpolitik der Länder. So existieren große Unterschiede in der Akzeptanz integrativer pädagogischer Ansätze und Konzepte, der Ausbildung der Lehrer/innen und in der historischen Entwicklung verschiedener Schulformen. Die Existenz von Hauptschulen und Sonderschulen als quasi „untere bzw. separate Bildungsgänge“ sowie die Veränderung ihrer Schülerschaft in Folge der Bildungsexpansion und eine allgemein höhere Bildungsbeteiligung resultieren unter anderem darin, dass zwei von zehn nichtdeutschen Schulentlassenen die Schule ohne Hauptschulabschluss verlassen und deren „Misserfolgsquote“ immer noch ca. 2,5-mal so hoch ist wie bei den deutschen Jugendlichen (Solga 2001). Um die ausgewiesenen Ergebnisse zu Jugendlichen mit Migrationshintergrund an deutschen Sonderschulen adäquat einordnen zu können, werden in diesem Arbeitspapier auch ausgewählte Daten und Fakten zur allgemeinen Bildungsbeteiligung von Jugendlichen ausländischer Herkunft dargestellt und es wird auf demographische Schlüsseldaten eingegangen. Insgesamt zeigen die im Folgenden dargestellten Zahlen deutlich, dass—wie es heute in der Politik und den Medien nun endlich reflektiert wird—Jugendliche nichtdeutscher Herkunft im deutschen Bildungssystem benachteiligt sind und man immer noch versucht, ihre „Lernbehinderung“—die zum Großteil auch auf eine gesellschaftliche „Lernblockierung“ zurückgeht—mittels Sonder- bzw. Förderschulen und damit mittels institutioneller Separierung statt Integration zu lösen. [less ▲]Detailed reference viewed: 116 (5 UL) Hinweis auf das Projekt : Effizienz des Frühunterrichts: begleitende Forschung im Rahmen der Fremdsprachenreformen“, esquisse de l’orientation de la recherche conduite au sein du projet d’étude sur l’introduction de l’enseignement précoce du français dans les écoles primaires de la SarreEhrhart, Sabine ; Franceschini, RitaE-print/Working paper (2001)Detailed reference viewed: 47 (2 UL) Impact de l’attrait des places bancaires sur les taux d’intérêt créditeurs : Un modèle de formation des taux créditeurs estimé sur données en panel de banques européennesBourgain, Arnaud ; Pieretti, Patrice ; Rouabah, AbdelazizE-print/Working paper (2001)This article evaluates the impact of banking centers' attractiveness on deposit interest rates. Using balance-sheet data from a set of 135 banks, the authors test an intermediation model of deposit rate ... [more ▼]This article evaluates the impact of banking centers' attractiveness on deposit interest rates. Using balance-sheet data from a set of 135 banks, the authors test an intermediation model of deposit rate determination. In particular, the investigation shows a significant impact of « confidentiality » on deposit rates, thus confirming the importance of qualitative variables favouring local differentiation and clustering of banking activities. [less ▲]Detailed reference viewed: 67 (0 UL) On perfect, amicable, and sociable chainsMarichal, Jean-Luc E-print/Working paper (2000)Let $\bfx = (x_0,\ldots,x_{n-1})$ be an $n$-chain, i.e., an $n$-tuple of non-negative integers $< n$. Consider the operator $s: \bfx \mapsto\bfx' = (x'_0,\ldots,x'_{n-1})$, where $x'_j$ represents the ... [more ▼]Let $\bfx = (x_0,\ldots,x_{n-1})$ be an $n$-chain, i.e., an $n$-tuple of non-negative integers $< n$. Consider the operator $s: \bfx \mapsto\bfx' = (x'_0,\ldots,x'_{n-1})$, where $x'_j$ represents the number of $j$'s appearing among the components of $\bfx$. An $n$-chain $\bfx$ is said to be perfect if $s(\bfx) = \bfx$. For example, (2,1,2,0,0) is a perfect 5-chain. Analogously to the theory of perfect, amicable, and sociable numbers, one can define from the operator $s$ the concepts of amicable pair and sociable group of chains. In this paper we give an exhaustive list of all the perfect, amicable, and sociable chains. [less ▲]Detailed reference viewed: 36 (3 UL) On the function of consciousness:An adaptationist perspectiveReuter, Robert E-print/Working paper (1999)Detailed reference viewed: 30 (1 UL) Analyse de l’évolution de la productivité totale des facteurs dans l’industrie luxembourgeoiseBourgain, Arnaud ; Pieretti, Patrice E-print/Working paper (1999)Detailed reference viewed: 52 (0 UL) Review of a BBS target article Lexical Entries and Rules of Language: A Multidisciplinary Study of German Inflection by Harald Clahsen to appear in BBS (1999) 22 (6)Reuter, Robert E-print/Working paper (1999)Many authors (e.g., Chomsky 1995, Pinker 1984, and Marcus 1998) argue that the architecture of the language faculty contains two separate components: a (structured) lexicon and a computational component ... [more ▼]Many authors (e.g., Chomsky 1995, Pinker 1984, and Marcus 1998) argue that the architecture of the language faculty contains two separate components: a (structured) lexicon and a computational component. Clahsen presents in a current BBS target article (in press) new empirical evidences in favour of such a dual-mechanism model of language processing based on a multidisciplinary study of German inflection. In the following review, I will summarise and discuss the major points of Clahsen's paper. My focus will be on theoretical, methodological and empirical issues presented and discussed in the paper. An important issue will be the bearing of his empirical findings on the current debate in psycholinguistic modelling. I will as well speculate that at least a part of Clahsen's reasoning seems not to hold in the case of a language closely related to German, namely Luxembourgian. [less ▲]Detailed reference viewed: 153 (2 UL) On linear decompositions of L-valued simple graphsBisdorff, Raymond E-print/Working paper (1996)In this report we will present a linear decomposition of a given L- valued binary relation into a set of sub-relations of kernel-dimension one. We will apply this theoretical result to the design of a ... [more ▼]In this report we will present a linear decomposition of a given L- valued binary relation into a set of sub-relations of kernel-dimension one. We will apply this theoretical result to the design of a faster algorithm for computing L-valued kernels on general L-valued simple graphs. [less ▲]Detailed reference viewed: 12 (0 UL) Le français langue seconde dans les écoles maternelles et primaires de la République de Vanuatu (Pacifique Sud), Bilan d’une année d’étude dans le cadre de la « bourse d‘excellence postdoctorale Aupelf-Uref »Ehrhart, Sabine E-print/Working paper (1995)Detailed reference viewed: 41 (2 UL) Quelques réflexions concernant la genèse du tayo en Nouvelle-Calédonie et discussion des éventuels apports venant de l’extérieur, notamment du créole réunionnais, Conférence donnée à l'Université de Münster, 1991Ehrhart, Sabine E-print/Working paper (1994)Detailed reference viewed: 93 (0 UL) The degree of Kummer extensions of number fieldsPerucca, Antonella ; Sgobba, Pietro ; Tronto, Sebastiano E-print/Working paper (n.d.)Let K be a number field, and let \alpha_1, ... , \alpha_r be elements of K* which generate a subgroup of K* of rank r. Consider the cyclotomic-Kummer extensions of K given by K(\zeta_n, \sqrt[n_1]{\alpha ... [more ▼]Let K be a number field, and let \alpha_1, ... , \alpha_r be elements of K* which generate a subgroup of K* of rank r. Consider the cyclotomic-Kummer extensions of K given by K(\zeta_n, \sqrt[n_1]{\alpha_1}, ... , \sqrt[n_r]{\alpha_r}), where n_i divides n for all i. There is an integer x such that these extensions have maximal degree over K(\zeta_g, \sqrt[g_1]{\alpha_1}, ... , \sqrt[g_r]{\alpha_r}), where g=\gcd(n,x) and g_i=\gcd(n_i,x). We prove that the constant x is computable. Moreover, if n, n_1, ... , n_r are powers of some prime number, then we prove that one can compute parametric formulas (with parameters n, n_1, ... , n_r) for the degree of the above extensions. [less ▲]Detailed reference viewed: 75 (8 UL) Controlling the Error on Target Motion through Real-time Mesh Adaptation: Applications to Deep Brain StimulationBui, Huu Phuoc ; Tomar, Satyendra ; Courtecuisse, Hadrien et alE-print/Working paper (n.d.)We present an error-controlled mesh refinement procedure for needle insertion simulation and apply it to the simulation of electrode implantation for deep brain stimulation, including brain shift. Our ... [more ▼]We present an error-controlled mesh refinement procedure for needle insertion simulation and apply it to the simulation of electrode implantation for deep brain stimulation, including brain shift. Our approach enables to control the error in the computation of the displacement and stress fields around the needle tip and needle shaft by suitably refining the mesh, whilst maintaining a coarser mesh in other parts of the domain. We demonstrate through academic and practical examples that our approach increases the accuracy of the displacement and stress fields around the needle without increasing the computational expense. This enables real-time simulations. The proposed methodology has direct implications to increase the accuracy and control the computational expense of the simulation of percutaneous procedures such as biopsy, brachytherapy, regional anesthesia, or cryotherapy and can be essential to the development of robotic guidance. [less ▲]Detailed reference viewed: 327 (34 UL) Bayesian inference for the stochastic identification of elastoplastic material parameters: Introduction, misconceptions and insightsRappel, Hussein ; Beex, Lars ; Hale, Jack et alE-print/Working paper (n.d.)We discuss Bayesian inference (BI) for the probabilistic identification of material parameters. This contribution aims to shed light on the use of BI for the identification of elastoplastic material ... [more ▼]We discuss Bayesian inference (BI) for the probabilistic identification of material parameters. This contribution aims to shed light on the use of BI for the identification of elastoplastic material parameters. For this purpose a single spring is considered, for which the stress-strain curves are artificially created. Besides offering a didactic introduction to BI, this paper proposes an approach to incorporate statistical errors both in the measured stresses, and in the measured strains. It is assumed that the uncertainty is only due to measurement errors and the material is homogeneous. Furthermore, a number of possible misconceptions on BI are highlighted based on the purely elastic case. [less ▲]Detailed reference viewed: 342 (104 UL) Verification of the Quillen conjecture in the rank 2 imaginary quadratic caseRahm, Alexander ; Bui, Anh TuanE-print/Working paper (n.d.)We confirm a conjecture of Quillen in the case of the mod 2 cohomology of arithmetic groups SL_2(A[1/2]), where A is an imaginary quadratic ring of integers. To make explicit the free module structure on ... [more ▼]We confirm a conjecture of Quillen in the case of the mod 2 cohomology of arithmetic groups SL_2(A[1/2]), where A is an imaginary quadratic ring of integers. To make explicit the free module structure on the cohomology ring conjectured by Quillen, we compute the mod 2 cohomology of SL_2(Z[sqrt(−2)][1/2]) via the amalgamated decomposition of the latter group. [less ▲]Detailed reference viewed: 53 (1 UL) Not participating in education, employment or training (NEET): Hope to mitigate new social risks in the UK?Murphy, Emily ; Holmes, Craig; Mayhew, KenE-print/Working paper (n.d.)Young people not participating in education, employment or training (NEET) are a key policy concern in Europe. We examine whether hope, as a form of life course agency, plays a protective role against the ... [more ▼]Young people not participating in education, employment or training (NEET) are a key policy concern in Europe. We examine whether hope, as a form of life course agency, plays a protective role against the risk of being NEET in the context of the British welfare state. Hope is conceptualised as multidimensional: being a temporally embedded, agentic mentality comprised of one’s sense of adaptive decision-making in the present and pathways thinking towards the future. Longitudinal estimations based on the latest Understanding Society microdata (2009-2018) indicate a direct association between higher-hope modes, on average, and a lower likelihood of being NEET. Further, our study assesses whether hopeful agency is moderated by the experience of parental worklessness. Findings indicate that while hope is not more important for those who experienced disadvantages in upbringing, hopeful agency is shown to be equally important in the face of past and present NEET risks. For the UK, building young peoples’ adaptive, agentic mentality towards their future in education or employment over the long-term, may prove one cost-effective policy approach. [less ▲]Detailed reference viewed: 26 (2 UL) A new one point quadrature rule over arbitrary star convex polygon/polyhedronNatarajan, Sundararajan; Francis, Amrita; Atroshchenko, Elena et alE-print/Working paper (n.d.)The Linear Smoothing (LS) scheme \cite{francisa.ortiz-bernardin2017} ameliorates linear and quadratic approximations over convex polytopes by employing a three-point integration scheme. In this work, we ... [more ▼]The Linear Smoothing (LS) scheme \cite{francisa.ortiz-bernardin2017} ameliorates linear and quadratic approximations over convex polytopes by employing a three-point integration scheme. In this work, we propose a linearly consistent one point integration scheme which possesses the properties of the LS scheme with three integration points but requires one third of the integration computational time. The essence of the proposed technique is to approximate the strain by the smoothed nodal derivatives that are determined by the discrete form of the divergence theorem. This is done by the Taylor's expansion of the weak form which facilitates the evaluation of the smoothed nodal derivatives acting as stabilization terms. The smoothed nodal derivatives are evaluated only at the centroid of each integration cell. These integration cells are the simplex subcells (triangle/tetrahedron in two and three dimensions) obtained by subdividing the polytope. The salient feature of the proposed technique is that it requires only $n$ integrations for an $n-$ sided polytope as opposed to $3n$ in~\cite{francisa.ortiz-bernardin2017} and $13n$ integration points in the conventional approach. The convergence properties, the accuracy, and the efficacy of the LS with one point integration scheme are discussed by solving few benchmark problems in elastostatics. [less ▲]Detailed reference viewed: 55 (3 UL) Correspondences between WZNW models and CFTs with W-algebra symmetryRoenne, Peter Browne ; Creutzig, Thomas; Hikida, YasuakiE-print/Working paper (n.d.)Detailed reference viewed: 98 (3 UL) The Breuer-Major Theorem in total variation: improved rates under minimal regularityNourdin, Ivan ; Nualart, David; Peccati, Giovanni E-print/Working paper (n.d.)Detailed reference viewed: 20 (0 UL) The problem of detecting linear dependencePerucca, Antonella E-print/Working paper (n.d.)Detailed reference viewed: 60 (2 UL) The Hardest Logic Puzzle EverPerucca, Antonella E-print/Working paper (n.d.)Detailed reference viewed: 44 (0 UL) Kummer theory for number fields via entanglement groupsPerucca, Antonella ; Sgobba, Pietro ; Tronto, Sebastiano E-print/Working paper (n.d.)Let $K$ be a number field, and let $G$ be a finitely generated and torsion-free subgroup of $K^\times$. We are interested in computing the degree of the cyclotomic-Kummer extension $K(\sqrt[n]{G})$ over ... [more ▼]Let $K$ be a number field, and let $G$ be a finitely generated and torsion-free subgroup of $K^\times$. We are interested in computing the degree of the cyclotomic-Kummer extension $K(\sqrt[n]{G})$ over $K$, where $\sqrt[n]{G}$ consists of all $n$-th roots of the elements of $G$. We develop the theory of entanglements introduced by Lenstra, and apply it to compute the above degrees. [less ▲]Detailed reference viewed: 83 (3 UL) Linear smoothed polygonal and polyhedral finite elementsFrancis, Amrita; Ortiz-Bernardin, Alejandro; Bordas, Stéphane et alE-print/Working paper (n.d.)It was observed in [1, 2] that the strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal ... [more ▼]It was observed in [1, 2] that the strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal finite element method. In this work, we propose a linear strain smoothing scheme that improves the accuracy of linear and quadratic approximations over convex polytopes. The main idea is to subdivide the polytope into simplicial subcells and use a linear smoothing function in each subcell to compute the strain. This new strain is then used in the computation of the stiffness matrix. The convergence properties and accuracy of the proposed scheme are discussed by solving few benchmark problems. Numerical results show that the proposed linear strain smoothing scheme makes the approximation based on polytopes to deliver improved accuracy and pass the patch test to machine precision. [less ▲]Detailed reference viewed: 432 (10 UL) Explicit Kummer theory for quadratic fieldsHörmann, Fritz; Perucca, Antonella ; Sgobba, Pietro et alE-print/Working paper (n.d.)Let K be a number field, and let \alpha \in K be an algebraic number which is neither 0 nor a root of unity. The ratio between n and the Kummer degree [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)], where n ... [more ▼]Let K be a number field, and let \alpha \in K be an algebraic number which is neither 0 nor a root of unity. The ratio between n and the Kummer degree [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)], where n divides m, is known to be bounded independently of n and m. For some families of quadratic number fields we describe an explicit algorithm that provides formulas for all those Kummer degrees. In particular, for the given fields we are able to give explicit expressions for the Kummer extensions contained in a cyclotomic extension. [less ▲]Detailed reference viewed: 61 (6 UL) ON THE (NON-)EQUIVALENCE OF INTEGRAL BINARY QUADRATIC FORMS AND THEIR NEGATIVE FORMSBarthel, Jim Jean-Pierre ; Müller, Volker E-print/Working paper (n.d.)Integral binary quadratic forms have been extensively studied in order to compute the class number of real and complex quadratic ﬁelds. Many studies restricted the equivalence class of quadratic forms or ... [more ▼]Integral binary quadratic forms have been extensively studied in order to compute the class number of real and complex quadratic ﬁelds. Many studies restricted the equivalence class of quadratic forms or identiﬁed speciﬁc forms in order to compute the class number through enumeration of equivalence classes. One often used assumption is that a given form and its negative are equivalent or are synthetically identiﬁed. This document presents a concise Lagrangian approach to integral binary quadratic forms, outlines the equivalence classes in its broadest sense and uses it to develop a general condition when a given integral binary quadratic form and its negative are equivalent. Then, the existence of integral binary quadratic forms which are non-equivalent to their negatives is proven and an elementary algorithm to determine the (non-)equivalence of a given form and its negative is outlined. [less ▲]Detailed reference viewed: 61 (3 UL) New Constructions of Verifiable Delay FunctionsBarthel, Jim Jean-Pierre ; Naccache, David; Rosie, Razvan E-print/Working paper (n.d.)A Verifiable Delay Function (VDF) is a cryptographic protocol thought to provide a proof of elapsed time. At the core of such a protocol lies a sequential task whose evaluation cannot be accelerated, even ... [more ▼]A Verifiable Delay Function (VDF) is a cryptographic protocol thought to provide a proof of elapsed time. At the core of such a protocol lies a sequential task whose evaluation cannot be accelerated, even in the presence of massive parallel computational resources. We introduce a novel sequentiality assumption, put forth a scheme that achieves this sequentiality constraint by requiring its users to evaluate a function over (levelled) fully homomorphic ciphertexts and provide a heuristic security analysis. [less ▲]Detailed reference viewed: 67 (4 UL) On the discrete Fuglede and Pompeiu problemKiss, Gergely ; Malikiosis, Romanos; Somlai, Gabor et alE-print/Working paper (n.d.)Detailed reference viewed: 33 (0 UL) Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super- geometric analysis to Geometry Independent Field approximaTion (GIFT)Atroshchenko, Elena; Xu, Gang; Tomar, Satyendra et alE-print/Working paper (n.d.)This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for approximation of the solution ... [more ▼]This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for approximation of the solution field. The method inherits the main advantage of isogeometric analysis, i.e. preserves the original, exact CAD geometry (for example, given by NURBS), but allows pairing it with an approximation space which is more suitable/flexible for analysis, for example, T-splines, LR-splines, (truncated) hierarchical B-splines, and PHT-splines. This generalization offers the advantage of adaptive local refinement without the need to re-parameterize the domain, and therefore without weakening the link with the CAD model. We demonstrate the use of the method with different choices of the geometry and field splines, and show that, despite the failure of the standard patch test, the optimum convergence rate is achieved for non-nested spaces. [less ▲]Detailed reference viewed: 257 (13 UL) The degree of non-abelian Kummer extensions of number fieldsPerucca, Antonella E-print/Working paper (n.d.)Detailed reference viewed: 58 (0 UL) Kummer theory for one-dimensional toriPerucca, Antonella ; Navas Orozco, JesúsE-print/Working paper (n.d.)Detailed reference viewed: 38 (6 UL) Linear smoothed extended finite element methodMurugesan; Natarajan, Sundararajan; Gadyam, Palani et alE-print/Working paper (n.d.)The extended finite element method (XFEM) was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions. This enables elements to ... [more ▼]The extended finite element method (XFEM) was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions. This enables elements to be split by a discontinuity, strong or weak and hence requires the integration of discontinuous functions or functions with discontinuous derivatives over elementary volumes. Moreover, in the case of open surfaces and singularities, special, usually non-polynomial functions must also be integrated.A variety of approaches have been proposed to facilitate these special types of numerical integration, which have been shown to have a large impact on the accuracy and convergence of the numerical solution. The smoothed extended finite element method (SmXFEM) [1], for example, makes numerical integration elegant and simple by transforming volume integrals into surface integrals. However, it was reported in [1, 2] that the strain smoothing is inaccurate when non-polynomial functions are in the basis. This is due to the constant smoothing function used over the smoothing domains which destroys the effect of the singularity. In this paper, we investigate the benefits of a recently developed Linear smoothing procedure [3] which provides better approximation to higher order polynomial fields in the basis. Some benchmark problems in the context of linear elastic fracture mechanics (LEFM) are solved to compare the standard XFEM, the constant-smoothed XFEM (Sm-XFEM) and the linear-smoothed XFEM (LSm-XFEM). We observe that the convergence rates of all three methods are the same. The stress intensity factors (SIFs) computed through the proposed LSm-XFEM are however more accurate than that obtained through Sm-XFEM. To conclude, compared to the conventional XFEM, the same order of accuracy is achieved at a relatively low computational effort. [less ▲]Detailed reference viewed: 100 (3 UL) SOS SudokuPerucca, Antonella E-print/Working paper (n.d.)Detailed reference viewed: 15 (0 UL) Kummer extensions of number fields (the case of rank 2)Perucca, Antonella E-print/Working paper (n.d.)Detailed reference viewed: 55 (14 UL) Arithmetic BilliardsPerucca, Antonella ; Reguengo da Sousa, Joe; Tronto, Sebastiano E-print/Working paper (n.d.)Detailed reference viewed: 33 (0 UL) Effective Kummer Theory for Elliptic CurvesLombardo, Davide; Tronto, Sebastiano E-print/Working paper (n.d.)Let E be an elliptic curve defined over a number field K, let α ∈ E(K) be a point of infinite order, and let N −1 α be the set of N -division points of α in E(K). We prove strong effective and uniform ... [more ▼]Let E be an elliptic curve defined over a number field K, let α ∈ E(K) be a point of infinite order, and let N −1 α be the set of N -division points of α in E(K). We prove strong effective and uniform results for the degrees of the Kummer extensions [K(E[N ], N −1 α) : K(E[N ])]. When K = Q, and under a minimal (necessary) assumption on α, we show that the inequality [Q(E[N ], N −1 α) : Q(E[N ])] ≥ cN 2 holds with a constant c independent of both E and α. [less ▲]Detailed reference viewed: 29 (5 UL)     7 8 9 10 11 12