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

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.

Authors

Eugenio P. Balanzario (ORCID: https://orcid.org/0000-0001-7206-7624)

Institutions

Universidad Nacional Autónoma de México (MX)

Publication Details

Journal: Indagationes Mathematicae
Published: 2025-04-01
DOI: https://doi.org/10.1016/j.indag.2025.03.007
Citations: 1
Primary Topic: Analytic Number Theory Research
Type: article
Field-Weighted Citation Impact: 5.38

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article

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

Eugenio P. Balanzario

Apr 1, 2025

1 citations

Indagationes Mathematicae

Analytic Number Theory Research

5.38

article

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

Eugenio P. Balanzario

April 1, 2025article en

1 citations

Abstract

Indagationes Mathematicae

Universidad Nacional Autónoma de México (MX)

Openalex Percentile: Top 9%

Analytic Number Theory Research

5.38

DOI Open Access PDF OpenAlex

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A note on the distribution of clusters and deserts of prime numbers — Eugenio P. Balanzario · Indagationes Mathematicae (2025) | TGRS Research Map | TGRS