Primes in Arithmetic Progressions to Moduli with a Large Power Factor
Ruting Guo
Network Center, Shandong University, Jinan, China.
DOI: 10.4236/apm.2013.37A003   PDF    HTML     4,174 Downloads   7,038 Views   Citations


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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R. Guo, "Primes in Arithmetic Progressions to Moduli with a Large Power Factor," Advances in Pure Mathematics, Vol. 3 No. 7A, 2013, pp. 25-32. doi: 10.4236/apm.2013.37A003.

Conflicts of Interest

The authors declare no conflicts of interest.


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