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Showing results 21 to 40 of 42
   Reductions of algebraic integers IIPerucca, Antonella  in Association for Women in Mathematics Series (2018) Detailed reference viewed: 102 (7 UL) Arithmetic billiardsPerucca, Antonella Article for general public (2018) Detailed reference viewed: 51 (5 UL)The PytEuk puzzlePerucca, Antonella Diverse speeches and writings (2018) We present an original mathematical exhibit. Detailed reference viewed: 49 (10 UL)Reductions of one-dimensional tori IIPerucca, Antonella in Association for Women in Mathematics Series (2018) Detailed reference viewed: 88 (1 UL)Reductions of points on algebraic groups; Perucca, Antonella E-print/Working paper (2017) Detailed reference viewed: 47 (6 UL)Reductions of one-dimensional toriPerucca, Antonella in International Journal of Number Theory (2017) Detailed reference viewed: 84 (7 UL)The Chinese Remainder ClockPerucca, Antonella in College Mathematics Journal (2017) Detailed reference viewed: 42 (2 UL)Multiplicative order and Frobenius symbol for the reductions of number fieldsPerucca, Antonella E-print/Working paper (2017) Detailed reference viewed: 80 (5 UL)The 1-eigenspace for matrices in GL2(ℤℓ); Perucca, Antonella in New York Journal of Mathematics (2017) Detailed reference viewed: 894 (3 UL)Reductions of algebraic integers; Perucca, Antonella in Journal of Number Theory (2016) Detailed reference viewed: 94 (4 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: 73 (2 UL)The order of the reductions of an algebraic integerPerucca, Antonella in Journal of Number Theory (2015) Detailed reference viewed: 85 (2 UL)Kummer extensions of number fields (the case of rank 2)Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 58 (14 UL)The problem of detecting linear dependencePerucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 62 (2 UL)Explicit Kummer theory for quadratic fields; Perucca, Antonella ; Sgobba, Pietro et alE-print/Working paper (n.d.) Let K be a quadratic number field. If \alpha \in K*, we describe an explicit procedure to compute all Kummer degrees [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)] for n,m \geq 1, where \zeta_m denotes a ... [more ▼] Let K be a quadratic number field. If \alpha \in K*, we describe an explicit procedure to compute all Kummer degrees [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)] for n,m \geq 1, where \zeta_m denotes a primitive m-th root of unity and n divides m. We can also replace \alpha by any finitely generated subgroup of K*. [less ▲] Detailed reference viewed: 86 (10 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. This result reduces to finitely many cases the computation of the degrees of the extensions K(\zeta_{n}, \sqrt[{n_1}]{\alpha_1}, ... , \sqrt[{n_r}]{\alpha_r}) over K. [less ▲] Detailed reference viewed: 84 (9 UL)Kummer theory for one-dimensional toriPerucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 48 (16 UL)The Hardest Logic Puzzle EverPerucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 44 (0 UL) |
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