Étude statistique du facteur premier médian, 3 : lois de répartition

Fuente: arXiv
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Main Author: Rotgé, Jonathan
Format: Preprint
Published: 2025
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author Rotgé, Jonathan
author_facet Rotgé, Jonathan
contents We consider the Gaussian limit law for the distribution of the middle prime factor of an integer, defined according to multiplicity or not. We obtain an optimal bound for the speed of convergence, thereby improving on previous estimates available in the literature.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15956
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Étude statistique du facteur premier médian, 3 : lois de répartition
Rotgé, Jonathan
Number Theory
Probability
11N25, 11N37
We consider the Gaussian limit law for the distribution of the middle prime factor of an integer, defined according to multiplicity or not. We obtain an optimal bound for the speed of convergence, thereby improving on previous estimates available in the literature.
title Étude statistique du facteur premier médian, 3 : lois de répartition
topic Number Theory
Probability
11N25, 11N37
url https://arxiv.org/abs/2501.15956