![]() Perucca, Antonella ![]() in Proceedings of the Roman Number Theory Association (2019), 4 Detailed reference viewed: 102 (9 UL)![]() Perucca, Antonella ![]() ![]() 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)![]() Perucca, Antonella ![]() Diverse speeches and writings (2018) We present an original mathematical exhibit. Detailed reference viewed: 50 (10 UL)![]() Perucca, Antonella ![]() in College Mathematics Journal (2018) Detailed reference viewed: 51 (3 UL)![]() Perucca, Antonella ![]() Article for general public (2018) Detailed reference viewed: 53 (6 UL)![]() Perucca, Antonella ![]() Article for general public (2018) Detailed reference viewed: 48 (7 UL)![]() 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: 69 (8 UL)![]() Perucca, Antonella ![]() in Association for Women in Mathematics Series (2018) Detailed reference viewed: 105 (7 UL)![]() Perucca, Antonella ![]() in Association for Women in Mathematics Series (2018) Detailed reference viewed: 93 (1 UL)![]() Perucca, Antonella ![]() in College Mathematics Journal (2017) Detailed reference viewed: 47 (2 UL)![]() ; Perucca, Antonella ![]() in New York Journal of Mathematics (2017) Detailed reference viewed: 903 (3 UL)![]() Perucca, Antonella ![]() in International Journal of Number Theory (2017) Detailed reference viewed: 87 (7 UL)![]() ; Perucca, Antonella ![]() in Journal of Number Theory (2016) Detailed reference viewed: 99 (4 UL)![]() Perucca, Antonella ![]() in Journal of Number Theory (2015) Detailed reference viewed: 88 (2 UL)![]() Perucca, Antonella ![]() in Journal de Theorie des Nombres de Bordeaux (2015) Detailed reference viewed: 75 (2 UL)![]() Perucca, Antonella ![]() E-print/Working paper (n.d.) Detailed reference viewed: 18 (0 UL)![]() Perucca, Antonella ![]() E-print/Working paper (n.d.) Detailed reference viewed: 43 (0 UL)![]() Perucca, Antonella ![]() E-print/Working paper (n.d.) Detailed reference viewed: 56 (23 UL)![]() Perucca, Antonella ![]() E-print/Working paper (n.d.) Detailed reference viewed: 47 (0 UL) |
||