M. B. Barban, Y. V. Linink and N. G. Chudakov, “On Prime Numbers in an Arithmetic Progression with a Prime-Power Difference,” Acta Arithmetica, Vol. 9, No. 4, 1964, pp. 375-390.

has been cited by the following article:

• TITLE: Primes in Arithmetic Progressions to Moduli with a Large Power Factor

  AUTHORS: Ruting Guo

  KEYWORDS: Primes; Arithmetic Progressions; Riemann Hypothesis

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.7A, October 30, 2013

  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.