A variant of Bombieri-Vinogradov theorem with explicit constants

2016/10/17 by Alisa Sedunova, Sedunova, Alisa
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1610.05344

openalex publication_date 2016/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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