塞尔伯格不规则密度筛

IF 0.5 3区数学 Q3 MATHEMATICS

Acta Arithmetica Pub Date : 2022-06-07 DOI:10.4064/aa220719-5-10

J. Friedlander, H. Iwaniec

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引用次数: 1

摘要

：我们研究塞尔伯格筛的某些方面，特别是当用相当薄的素数集进行筛选时。我们导出了特别适合这种设置的下界筛的新结果，并特别将其应用于在存在异常零的情况下给出算术级数中关于最小素数的Linnik定理的新的筛推证明。

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Selberg’s sieve of irregular density

: We study certain aspects of the Selberg sieve, in particular when sifting by rather thin sets of primes. We derive new results for the lower bound sieve suited especially for this setup and we apply them in particular to give a new sieve-propelled proof of Linnik’s theorem on the least prime in an arithmetic progression in the case of the presence of exceptional zeros.

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