References of "Perucca, Antonella 50028796"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailReductions of algebraic integers II
Perucca, Antonella UL

in Association for Women in Mathematics Series (2018)

Detailed reference viewed: 102 (7 UL)
Full Text
See detailArithmetic billiards
Perucca, Antonella UL

Article for general public (2018)

Detailed reference viewed: 51 (5 UL)
Full Text
See detailThe PytEuk puzzle
Perucca, Antonella UL

Diverse speeches and writings (2018)

We present an original mathematical exhibit.

Detailed reference viewed: 49 (10 UL)
Full Text
Peer Reviewed
See detailReductions of one-dimensional tori II
Perucca, Antonella UL

in Association for Women in Mathematics Series (2018)

Detailed reference viewed: 88 (1 UL)
Full Text
See detailReductions of points on algebraic groups
Lombardo, Davide; Perucca, Antonella UL

E-print/Working paper (2017)

Detailed reference viewed: 47 (6 UL)
Full Text
Peer Reviewed
See detailReductions of one-dimensional tori
Perucca, Antonella UL

in International Journal of Number Theory (2017)

Detailed reference viewed: 84 (7 UL)
Full Text
Peer Reviewed
See detailThe Chinese Remainder Clock
Perucca, Antonella UL

in College Mathematics Journal (2017)

Detailed reference viewed: 42 (2 UL)
Full Text
See detailMultiplicative order and Frobenius symbol for the reductions of number fields
Perucca, Antonella UL

E-print/Working paper (2017)

Detailed reference viewed: 80 (5 UL)
Full Text
Peer Reviewed
See detailThe 1-eigenspace for matrices in GL2(ℤℓ)
Lombardo, Davide; Perucca, Antonella UL

in New York Journal of Mathematics (2017)

Detailed reference viewed: 894 (3 UL)
Full Text
Peer Reviewed
See detailReductions of algebraic integers
Debry, Christophe; Perucca, Antonella UL

in Journal of Number Theory (2016)

Detailed reference viewed: 94 (4 UL)
Full Text
Peer Reviewed
See detailThe prime divisors of the number of points on abelian varieties
Perucca, Antonella UL

in Journal de Theorie des Nombres de Bordeaux (2015)

Detailed reference viewed: 73 (2 UL)
Full Text
Peer Reviewed
See detailThe order of the reductions of an algebraic integer
Perucca, Antonella UL

in Journal of Number Theory (2015)

Detailed reference viewed: 85 (2 UL)
Full Text
See detailKummer extensions of number fields (the case of rank 2)
Perucca, Antonella UL

E-print/Working paper (n.d.)

Detailed reference viewed: 58 (14 UL)
Full Text
See detailThe problem of detecting linear dependence
Perucca, Antonella UL

E-print/Working paper (n.d.)

Detailed reference viewed: 62 (2 UL)
Full Text
See detailExplicit Kummer theory for quadratic fields
Hörmann, Fritz; Perucca, Antonella UL; Sgobba, Pietro UL et al

E-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)
Full Text
See detailThe degree of Kummer extensions of number fields
Perucca, Antonella UL; Sgobba, Pietro UL; Tronto, Sebastiano UL

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)
Full Text
See detailKummer theory for one-dimensional tori
Perucca, Antonella UL

E-print/Working paper (n.d.)

Detailed reference viewed: 48 (16 UL)
Full Text
See detailThe Hardest Logic Puzzle Ever
Perucca, Antonella UL

E-print/Working paper (n.d.)

Detailed reference viewed: 44 (0 UL)
Full Text
See detailMultisets in arithmetics
Perucca, Antonella UL

(n.d.)

Detailed reference viewed: 19 (1 UL)
Full Text
See detailSOS Sudoku
Perucca, Antonella UL

E-print/Working paper (n.d.)

Detailed reference viewed: 15 (0 UL)