On the Brun-Titchmarsh theorem

The Brun–Titchmarsh theorem shows that the number of primes which are less than x and congruent to a modulo q is less than (C+o(1))x/(ϕ(q)logx) for some value C depending on logx/logq. Different authors have provided different estimates for C in different ranges for logx/logq, all of which give C&am...

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Bibliographic Details
Main Author: Maynard, J
Format: Journal article
Published: Polskiej Akademii Nauk, Instytut Matematyczny 2013