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arXiv · 2501.15956

\'Etude statistique du facteur premier m\'edian, 3 : lois de r\'epartition

Jonathan Rotgé
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Abstract

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.

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Jonathan Rotgé. 2025-01-27. \'Etude statistique du facteur premier m\'edian, 3 : lois de r\'epartition. https://doi.org/10.1016/j.bulsci.2025.103641

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