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arXiv · 2411.05932

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

Eugenio P. Balanzario
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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.

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Eugenio P. Balanzario. 2024-11-08. A note on the distribution of clusters and deserts of prime numbers. https://arxiv.org/abs/2411.05932

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