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Primes in arithmetic progressions to large moduli II: Well-factorable estimates

Maynard, JamesarXiv.orgPublished Jun 12, 2020Original︎ ↗Archived copy

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Title: Primes in arithmetic progressions to large moduli II: Well-factorable estimates0 passages
Authors: James Maynard10 passages · 1 marked

Abstract: We establish new mean value theorems for primes of size $x$ in arithmetic progressions to moduli as large as $x^{3/5-\epsilon}$ when summed with suitably well-factorable weights. This extends well-known work of Bombieri, Friedlander and Iwaniec, who handled moduli of size at most $x^{4/7-\epsilon}$. This has consequences for the level of distribution for sieve weights coming from the linear sieve.

Primes have level of distribution four sevenths with respect to well-factorable weights.Verified

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Kind
unknown
Authors
Maynard, James
Publisher
arXiv.org
Published
Jun 12, 2020
DOI
None
Link
https://arxiv.org/abs/2006.07088
Archived copy
https://web.archive.org/web/20260924101911/https://arxiv.org/abs/2006.07088
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3,761 characters, retrieved Sep 16, 2026 · 46 sections, 55 passages
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One known
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Facts checked
Nov 9, 2026

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  1. Nov 9, 2026DividedSegmenter · Divided into 101 parts by its own structure
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