References of "Perucca, Antonella 50028796"
     in
Bookmark and Share    
Full Text
See detailReductions of elliptic curves
Perucca, Antonella UL

in Proceedings of the Roman Number Theory Association (2019), 4

Detailed reference viewed: 102 (9 UL)
Full Text
Peer Reviewed
See detailKummer theory for number fields and the reductions of algebraic numbers
Perucca, Antonella UL; Sgobba, Pietro UL

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)
Full Text
See detailThe PytEuk puzzle
Perucca, Antonella UL

Diverse speeches and writings (2018)

We present an original mathematical exhibit.

Detailed reference viewed: 50 (10 UL)
Full Text
Peer Reviewed
See detailTactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind
Perucca, Antonella UL; Fiore, Tom; Lang, Alexander

in College Mathematics Journal (2018)

Detailed reference viewed: 51 (3 UL)
Full Text
See detailArithmetic billiards
Perucca, Antonella UL

Article for general public (2018)

Detailed reference viewed: 53 (6 UL)
Full Text
See detailDriehoeken met onderling 5 gelijke zijden en hoeken
Perucca, Antonella UL

Article for general public (2018)

Detailed reference viewed: 48 (7 UL)
Full Text
See detailMath around the Clock
Perucca, Antonella UL

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)
Full Text
Peer Reviewed
See detailReductions of algebraic integers II
Perucca, Antonella UL

in Association for Women in Mathematics Series (2018)

Detailed reference viewed: 105 (7 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: 93 (1 UL)
Full Text
Peer Reviewed
See detailThe Chinese Remainder Clock
Perucca, Antonella UL

in College Mathematics Journal (2017)

Detailed reference viewed: 47 (2 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: 903 (3 UL)
Full Text
Peer Reviewed
See detailReductions of one-dimensional tori
Perucca, Antonella UL

in International Journal of Number Theory (2017)

Detailed reference viewed: 87 (7 UL)
Full Text
Peer Reviewed
See detailReductions of algebraic integers
Debry, Christophe; Perucca, Antonella UL

in Journal of Number Theory (2016)

Detailed reference viewed: 99 (4 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: 88 (2 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: 75 (2 UL)
Full Text
See detailStaircase numbers
Perucca, Antonella UL

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

Detailed reference viewed: 43 (0 UL)
Full Text
See detailKummer theory for products of one-dimensional tori
Perucca, Antonella UL; Perissinotto, Flavio

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

Detailed reference viewed: 56 (23 UL)
Full Text
See detailThe first-digit law
Perucca, Antonella UL

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

Detailed reference viewed: 47 (0 UL)
Full Text
See detailBoy or Girl?
Perucca, Antonella UL

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

Detailed reference viewed: 54 (1 UL)