A. Shubin

collaborators

2 papers

math.NT2020

Fractional parts of non-integer powers of primes. II

Andrei Shubin

We continue to study the distribution of prime numbers $p$ , satisfying the condition ${p^{α}} \in I \subset [0; 1)$ , in arithmetic progressions. In the paper, we prove an analogu…

math.NT2020

Fractional parts of non-integer powers of primes

Andrei Shubin

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…