Advances in Pure Mathematics
Volume 3, Issue 7 (October 2013)
ISSN Print: 2160-0368 ISSN Online: 2160-0384
Google-based Impact Factor: 0.50 Citations h5-index & Ranking
Primes in Arithmetic Progressions to Moduli with a Large Power Factor ()
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ABSTRACT
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.
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