English

A variant of Bombieri-Vinogradov theorem with explicit constants

Number Theory 2016-11-04 v2

Abstract

In this paper we improve the result of Akbary and Hambrook by a factor of log x by obtaining a better version of Vaughan's inequality and using the explicit variant of an inequality connected to the M\"obius function, derived by Helfgott in his work on ternary Goldbach conjecture.

Keywords

Cite

@article{arxiv.1610.05344,
  title  = {A variant of Bombieri-Vinogradov theorem with explicit constants},
  author = {Alisa Sedunova},
  journal= {arXiv preprint arXiv:1610.05344},
  year   = {2016}
}