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

T. L. Todorova; D. I. Tolev

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arXiv · 0711.0171

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

T. L. Todorova·D. I. Tolev

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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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T. L. Todorova, D. I. Tolev. 2007-11-07. On the distribution of αp modulo one for primes p of a special form. https://arxiv.org/abs/0711.0171

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