A variant of Bombieri-Vinogradov theorem with explicit constants

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 Möbius function, derived by Helfgott in his work on ternary Goldbach conjecture.

Cited by in corpus (1)

• A logarithmic improvement in the Bombieri-Vinogradov theorem