A variant of Bombieri-Vinogradov theorem with explicit constants
classification
🧮 math.NT
keywords
explicitinequalityvariantakbarybetterbombieri-vinogradovconjectureconnected
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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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