Fractional parts of non-integer powers of primes

2020/10/28 by Shubin, Andrei
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.15216

Abstract

Let α> 0 be any fixed non-integer, I be any subinterval of [0; 1). In the paper, we prove an analogue of Bombieri-Vinogradov theorem for the set of primes p satisfying the condition \ p^α \ ∈ I. This strengthens the previous result of Gritsenko and Zinchenko.

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