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arXiv · 2303.06122

Sifting for small primes from an arithmetic progression

John B Friedlander·Henryk Iwaniec
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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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John B Friedlander, Henryk Iwaniec. 2023-03-10. Sifting for small primes from an arithmetic progression. https://arxiv.org/abs/2303.06122

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