Piatetski-Shapiro primes in a Beatty sequence

JOURNAL OF NUMBER THEORY

卷:156

Article

Guo, Victor Z.

关键词: Beatty sequences;    Piatetski-Shapiro primes;    Exponential sums;   

DOI  :  10.1016/j.jnt.2015.04.010

来源: Elsevier

【 摘 要 】

Let alpha, beta be real numbers such that alpha > 1 is irrational and of finite type, and let c be a real number in the range 1 < c < 14/13 In this paper, it is shown that there are infinitely many Piatetski-Shapiro primes p = [n(c)] in the non-homogeneous Beatty sequence ([alpha m + beta])(m=1)(infinity). (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free