On Sarkozy’s theorem for shifted primes

IF 3.5 1区数学 Q1 MATHEMATICS Journal of the American Mathematical Society Pub Date : 2023-09-28 DOI:10.1090/jams/1036

Ben Green

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引用次数: 0

Abstract

Suppose that A ⊂ { 1 , … , N } A \subset \{1,\dots , N\} has no two elements differing by p − 1 p-1 , p p prime. Then | A | ≪ N 1 − c |A| \ll N^{1 - c} .

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关于移位素数的萨科齐定理

想那A ...⊂{1,N}子集\{1,圆点,N \号的有两个文本differing by−1 p - 1, p p p prime。然后| A |≪N−1 | c . | \会1 - c N ^{}。

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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