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math.NTFeb 25, 2013
3
citations (OpenAlex)
authors
  • Jason Gibson
institutions
  • Eastern Kentucky University
arXiv abstractPDF
paper

The distribution of r-free numbers in arithmetic progressions

arXiv:1302.5976 · doi:10.1142/S1793042113501078

Abstract

A positive integer n is called r-free if n is not divisible by the r-th power of a prime. Generalizing earlier work of Orr, we provide an upper bound of Bombieri-Vinogradov type for the r-free numbers in arithmetic progressions.

5 pages

Cited by in corpus (1)

  • Numerical calculation of the Riemann zeta function at odd integer arguments: A direct formula method
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