Asymptotics on a class of S-unit integers

PERIODICA MATHEMATICA HUNGARICA（2024）

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摘要

In this paper we consider a (non)congruence generalizing the so-called good/bad numbers introduced by Moree (Acta Arith LXXX 3:197-212, 1997) and give asymptotics for their counting functions. In addition, we give heuristics for some conjectured bounds on primes belonging to such a class.

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关键词

Congruences,Quadratic characters,S-units,Sieve methods,Mersenne primes

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