VARIATIONS ON A THEME OF ROMANOFF

DOI10.1142/S0129167X96000220zbMath0869.11004OpenAlexW2048278291MaRDI QIDQ4716918

M. Ram Murty, Joseph H. Silverman, Michael I. Rosen

Publication date: 29 January 1997

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x96000220

zbMATH Keywords

congruencesabelian varietiesnumber fieldsorders of integers modulo \(m\) congruences

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Congruences; primitive roots; residue systems (11A07) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (10)

A function field analogue of Romanoff's theorem ⋮ Prime divisors of sparse values of cyclotomic polynomials and Wieferich primes ⋮ On the number of distinct functional graphs of affine-linear transformations over finite fields ⋮ REDUCTION modp OF SUBGROUPS OF THE MORDELL–WEIL GROUP OF AN ELLIPTIC CURVE ⋮ The size of semigroup orbits modulo primes ⋮ Divisor divisibility sequences on tori ⋮ An explicit polynomial analogue of Romanoff's theorem ⋮ The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their indices ⋮ On terms in a dynamical divisibility sequence having a fixed g.c.d with their indices ⋮ The reciprocal sum of divisors of Mersenne numbers

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