Sifting for small primes from an arithmetic progression (2303.06122v1)

Published 10 Mar 2023 in math.NT

Abstract: In this work and its sister paper [5] we give a new proof of the famous Linnik theorem bounding the least prime in an arithmetic progression. Using sieve machinery in both papers, we are able to dipense with the log-free zero density bounds and the repulsion property of exceptional zeros, two deep innovations begun by Linnik and reelied on in earlier proofs.

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