Work

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

Year: 2025

Type: article

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.

Source: Indagationes Mathematicae

DOI: 10.1016/j.indag.2025.03.007

Author: Eugenio P. Balanzario

Institutions: Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,140

OpenAlex ID: W4409054503

FWCI: 3.401

Cites: 12

Cited by: 1

Related to: 10