On the distribution of αp modulo one for primes p of a special form

2007/11/01 by Tatyana Todorova, T. L. Todorova, Todorova, T. L. +2
Mathematics · #11J71 #11N36 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT #msc:11J71 #msc:11N36

paper · pdf · doi:10.48550/arxiv.0711.0171

14 pages

openalex publication_date 2007/11/01 · arxiv created 2007/11/07 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

A classical problem in analytic number theory is to study the distribution of αp modulo 1, where α is irrational and p runs over the set of primes. We consider the subsequence generated by the primes p such that p+2 is an almost-prime (the existence of infinitely many such p is another topical result in prime number theory) and prove that its distribution has a similar property.

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