Title: On the distribution of \alpha p modulo one for primes p of a special form
Abstract: A classical problem in analytic number theory is to study the distribution of $\alpha p$ modulo 1, where $\alpha$ 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.
Publication Year: 2007
Publication Date: 2007-11-01
Language: en
Type: preprint
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