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Primes in Arithmetic Progressions to Moduli with a Large Power Factor
Network Center, Shandong University, Jinan, China
- 1 Network Center, Shandong University, Jinan, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 25–32·Published 23 October 2013·DOI10.4236/apm.2013.37A003
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Abstract
Recently Elliott studied the distribution of primes in arithmetic progressions whose moduli can be divisible by high powers 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.
KeywordsPrimesArithmetic ProgressionsRiemann Hypothesis
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