A note on the distribution of clusters and deserts of prime numbers
arXiv:2411.05932
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.
14 pages and 3 figures