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A variant of Bombieri-Vinogradov theorem with explicit constants

Published 17 Oct 2016 in math.NT | (1610.05344v2)

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.

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