素数线性模式的小范围分布

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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