A note on the distribution of clusters and deserts of prime numbers

IF 0.8 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2025-04-01 DOI:10.1016/j.indag.2025.03.007

Eugenio P. Balanzario

引用次数: 0

Abstract

We consider the distribution of values of weighted sums of the von Mangoldt arithmetical function. Using a formula for the distribution of values of trigonometric polynomials, we are able to present evidence supporting the claim that these weighted sums follow a distribution with a normal-like behavior.

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关于素数簇和沙漠分布的注释

我们考虑了von Mangoldt算术函数的加权和值的分布。使用三角多项式值分布的公式，我们能够提供证据支持这些加权和遵循具有类似正态行为的分布的说法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.