English

Higher correlations of divisor sums related to primes I: triple correlations

Number Theory 2007-05-23 v1

Abstract

We obtain the triple correlations for a truncated divisor sum related to primes. We also obtain the mixed correlations for this divisor sum when it is summed over the primes, and give some applications to primes in short intervals.

Keywords

Cite

@article{arxiv.math/0111212,
  title  = {Higher correlations of divisor sums related to primes I: triple correlations},
  author = {Daniel A. Goldston and Cem Yalcin Yildirim},
  journal= {arXiv preprint arXiv:math/0111212},
  year   = {2007}
}

Comments

58 pages