A note on the distribution of clusters and deserts of prime numbers
Number Theory
2024-11-12 v1
Abstract
In this note we consider the distribution of values of weighted sums of the von Mangoldt arithmetical function. By 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.
Keywords
Cite
@article{arxiv.2411.05932,
title = {A note on the distribution of clusters and deserts of prime numbers},
author = {Eugenio P. Balanzario},
journal= {arXiv preprint arXiv:2411.05932},
year = {2024}
}
Comments
14 pages and 3 figures