Étude statistique du facteur premier médian, 2 : lois locales

2025/01/27 by Rotgé, Jonathan · 1 citation
Mathematics · #11N25 #11N37 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2501.15951

openalex publication_date 2025/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We estimate the local laws of the distribution of the middle prime factor of an integer, defined according to multiplicity or not. An asymptotic estimate with effective remainder is provided for a wide range of values. In particular this enables to precisely describe the phase transition occurring in the relevant distribution.

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