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Visualisierungen des Induktionsprinzips Perucca, Antonella ; in Beiträge zum Mathematikunterricht 2020 (2020) Detailed reference viewed: 56 (8 UL)Kummer theory for number fields Perucca, Antonella ; Sgobba, Pietro ; Tronto, Sebastiano in Proceedings of the Roman Number Theory Association (2020) Detailed reference viewed: 87 (10 UL)Kummer theory for number fields and the reductions of algebraic numbers Perucca, Antonella ; Sgobba, Pietro in International Journal of Number Theory (2019) For all number fields the failure of maximality for the Kummer extensions is bounded in a very strong sense. We give a direct proof (without relying on the Bashmakov-Ribet method) of the fact that if G is ... [more ▼] For all number fields the failure of maximality for the Kummer extensions is bounded in a very strong sense. We give a direct proof (without relying on the Bashmakov-Ribet method) of the fact that if G is a finitely generated and torsion-free multiplicative subgroup of a number field K having rank r, then the ratio between n^r and the Kummer degree [K(\zeta_n,\sqrt[n]{G}):K(\zeta_n)] is bounded independently of n. We then apply this result to generalise to higher rank a theorem of Ziegler from 2006 about the multiplicative order of the reductions of algebraic integers (the multiplicative order must be in a given arithmetic progression, and an additional Frobenius condition may be considered). [less ▲] Detailed reference viewed: 277 (42 UL)Trigonometry for the multiples of 3 degrees Perucca, Antonella ; Stranen, Deborah Article for general public (2019) Detailed reference viewed: 63 (8 UL)The Art Gallery Problem Perucca, Antonella Article for general public (2019) Detailed reference viewed: 64 (9 UL)Reductions of points on algebraic groups ; Perucca, Antonella in Journal of the Institute of Mathematics of Jussieu (2019) Detailed reference viewed: 78 (6 UL)Multiplicative order and Frobenius symbol for the reductions of number fields Perucca, Antonella in Research Directions in Number Theory, Association for Women in Mathematics, Series 19 (2019) (2019) Detailed reference viewed: 106 (6 UL)Reductions of elliptic curves Perucca, Antonella in Proceedings of the Roman Number Theory Association (2019), 4 Detailed reference viewed: 115 (9 UL)The problem of detecting linear dependence Perucca, Antonella in Rivista di Matematica della Universita di Parma (2019) Detailed reference viewed: 99 (14 UL)Multisets in arithmetics Perucca, Antonella in Multimengen in der Arithmetik (2019) Detailed reference viewed: 34 (1 UL)Reductions of one-dimensional tori II Perucca, Antonella in Association for Women in Mathematics Series (2018) Detailed reference viewed: 110 (1 UL)Arithmetic billiards Perucca, Antonella Article for general public (2018) Detailed reference viewed: 77 (7 UL)The PytEuk puzzle Perucca, Antonella Diverse speeches and writings (2018) We present an original mathematical exhibit. Detailed reference viewed: 62 (10 UL)Math around the Clock Perucca, Antonella Article for general public (2018) This is an article for the general public about mathematical clocks. Several original mathematical clocks are also presented. Detailed reference viewed: 85 (9 UL)Reductions of algebraic integers II Perucca, Antonella in Association for Women in Mathematics Series (2018) Detailed reference viewed: 124 (7 UL)Driehoeken met onderling 5 gelijke zijden en hoeken Perucca, Antonella ; Article for general public (2018) Detailed reference viewed: 60 (7 UL)Tactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind Perucca, Antonella ; ; in College Mathematics Journal (2018) Detailed reference viewed: 72 (3 UL)The 1-eigenspace for matrices in GL2(ℤℓ) ; Perucca, Antonella in New York Journal of Mathematics (2017) Detailed reference viewed: 1008 (3 UL)The Chinese Remainder Clock Perucca, Antonella in College Mathematics Journal (2017) Detailed reference viewed: 70 (2 UL) |
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