素数线性模式的小范围分布

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-09-30 DOI:10.1112/jlms.13001

Mayank Pandey, Katharine Woo

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引用次数: 0

摘要

让 Ψ = ( ψ 1 , ⋯ , ψ t ) : ` Z d → R t $\Psi =(\psi _1,\hdots, \psi _t):`\mathbb {Z}^d\rightarrow \mathbb {R}^t$ 是一个具有有限复杂性的线性形式系统。格林和陶在他们的开创性论文中证明了系统Ψ $\Psi$ 值的以下素数定理：

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Small-scale distribution of linear patterns of primes

Let $Ψ = (ψ_{1}, \dots, ψ_{t}) : ` Z^{d} \to R^{t}$ be a system of linear forms with finite complexity. In their seminal paper, Green and Tao showed the following prime number theorem for values of the system $Ψ$ :

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.