Primes in Arithmetic Progressions to Moduli with a Large Power Factor

• 作者: Ruting Guo
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: PRIMES ARITHMETIC Progressions RIEMANN HYPOTHESIS
• 年，卷（期）: 2013,（7）
• 页码范围: 25-32
• 页数: 8页
• 分类号: O1

摘要

Recently Elliott studied the distribution of primes in arithmetic progressions whose moduli can be divisible by highpowers of a given integer and showed that for integer a≥2 and real number A>0. There is a B=B(A)>0 such that , holds uniformly for moduli that are powers of a. In this paper we are able to improve his result.