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Primes in Arithmetic Progressions to Moduli with a Large Power Factor

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DOI: 10.4236/apm.2013.37A003    3,650 Downloads   6,106 Views  
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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