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arXiv · 2501.15951

\'Etude statistique du facteur premier m\'edian, 2 : lois locales

Jonathan Rotgé
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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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Jonathan Rotgé. 2025-01-27. \'Etude statistique du facteur premier m\'edian, 2 : lois locales. https://arxiv.org/abs/2501.15951

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