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Showing results 21 to 40 of 49
  Reductions of elliptic curvesPerucca, Antonella  in Proceedings of the Roman Number Theory Association (2019), 4 Detailed reference viewed: 102 (9 UL) Kummer theory for number fields and the reductions of algebraic numbersPerucca, 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: 228 (40 UL) The PytEuk puzzlePerucca, Antonella Diverse speeches and writings (2018) We present an original mathematical exhibit. Detailed reference viewed: 50 (10 UL)Tactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering MastermindPerucca, Antonella ; ; in College Mathematics Journal (2018) Detailed reference viewed: 51 (3 UL)Arithmetic billiardsPerucca, Antonella Article for general public (2018) Detailed reference viewed: 53 (6 UL)Driehoeken met onderling 5 gelijke zijden en hoekenPerucca, Antonella Article for general public (2018) Detailed reference viewed: 48 (7 UL)Math around the ClockPerucca, 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: 69 (8 UL)Reductions of algebraic integers IIPerucca, Antonella in Association for Women in Mathematics Series (2018) Detailed reference viewed: 105 (7 UL)Reductions of one-dimensional tori IIPerucca, Antonella in Association for Women in Mathematics Series (2018) Detailed reference viewed: 93 (1 UL)The Chinese Remainder ClockPerucca, Antonella in College Mathematics Journal (2017) Detailed reference viewed: 47 (2 UL)The 1-eigenspace for matrices in GL2(ℤℓ); Perucca, Antonella in New York Journal of Mathematics (2017) Detailed reference viewed: 903 (3 UL)Reductions of one-dimensional toriPerucca, Antonella in International Journal of Number Theory (2017) Detailed reference viewed: 87 (7 UL)Reductions of algebraic integers; Perucca, Antonella in Journal of Number Theory (2016) Detailed reference viewed: 99 (4 UL)The order of the reductions of an algebraic integerPerucca, Antonella in Journal of Number Theory (2015) Detailed reference viewed: 88 (2 UL)The prime divisors of the number of points on abelian varietiesPerucca, Antonella in Journal de Theorie des Nombres de Bordeaux (2015) Detailed reference viewed: 75 (2 UL)The least common multiple of several numbers in terms of greatest common divisorsPerucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 18 (0 UL)Staircase numbersPerucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 43 (0 UL)Kummer theory for products of one-dimensional toriPerucca, Antonella ; E-print/Working paper (n.d.) Detailed reference viewed: 56 (23 UL)The first-digit lawPerucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 47 (0 UL) |
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