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ORBi

Reductions of one-dimensional tori Perucca, Antonella in International Journal of Number Theory (2017) Detailed reference viewed: 105 (7 UL)Reductions of algebraic integers ; Perucca, Antonella in Journal of Number Theory (2016) Detailed reference viewed: 123 (4 UL)The prime divisors of the number of points on abelian varieties Perucca, Antonella in Journal de Théorie des Nombres de Bordeaux (2015) Detailed reference viewed: 90 (5 UL)The order of the reductions of an algebraic integer Perucca, Antonella in Journal of Number Theory (2015) Detailed reference viewed: 108 (2 UL)Three-dimensional arithmetic billiards Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 80 (3 UL)Kummer theory for multiquadratic or quartic cyclic number fields Perissinotto, Flavio ; Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 88 (15 UL)The least common multiple of several numbers in terms of greatest common divisors Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 31 (1 UL)The first-digit law Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 67 (0 UL)Congruence theorems for convex polygons involving sides, angles, and diagonals Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 120 (40 UL)Kummer theory for products of one-dimensional tori Perucca, Antonella ; E-print/Working paper (n.d.) Detailed reference viewed: 75 (27 UL)Four Riddles with Four Brothers Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 49 (1 UL)Kummer theory for products of one-dimensional tori Perissinotto, Flavio ; Perucca, Antonella E-print/Working paper (n.d.) Let T be a finite product of one-dimensional tori defined over a number field K. We consider the torsion-Kummer extension K(T[nt], (1/n)G), where n,t are positive integers and G is a finitely generated ... [more ▼] Let T be a finite product of one-dimensional tori defined over a number field K. We consider the torsion-Kummer extension K(T[nt], (1/n)G), where n,t are positive integers and G is a finitely generated group of K-points on T. We show how to compute the degree of K(T[nt], (1/n)G) over K and how to determine whether T is split over such an extension. If K=Q, then we may compute at once the degree of the above extensions for all n and t. [less ▲] Detailed reference viewed: 42 (5 UL)Fermat's Last Theorem (Worksheet for pupils) Perucca, Antonella Learning material (n.d.) Detailed reference viewed: 35 (1 UL)The Hardest Logic Puzzle Ever Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 56 (0 UL)Rubik's Snakes on a plane Grotto, Francesco ; Perucca, Antonella ; E-print/Working paper (n.d.) Detailed reference viewed: 117 (35 UL)Kummer theory for finite fields and p-adic fields Perissinotto, Flavio ; Perucca, Antonella E-print/Working paper (n.d.) Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely generated subgroup of K*, then we can consider the degree of the cyclotomic-Kummer extension K(\zeta_N ... [more ▼] Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely generated subgroup of K*, then we can consider the degree of the cyclotomic-Kummer extension K(\zeta_N, \sqrt[n]{G})/K, where n divides N. If K is a finite field, then we give a closed formula for the degree, while if K is a p-adic field, then we describe a strategy to compute the degree. [less ▲] Detailed reference viewed: 47 (1 UL)Kummer extensions of number fields (the case of rank 2) Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 74 (18 UL)Unconscious assumptions in mathematical examples Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 31 (6 UL) |
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