Sifting for small primes from an arithmetic progression

被引：0
|
作者：
John B. Friedlander
Henryk Iwaniec
机构：
[1] University of Toronto,Department of Mathematics
[2] Rutgers University,Department of Mathematics
来源：
Science China Mathematics | 2023年 / 66卷
关键词：
sieve; small primes; Linnik theorem; 11M20; 11N05; 11N35; 11P32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work and its sister paper (Friedlander and Iwaniec (2023)), 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 dispense with the log-free zero density bounds and the repulsion property of exceptional zeros, two deep innovations begun by Linnik and relied on in earlier proofs.
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收藏
页码：2715 / 2730
页数：15
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