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arXiv · 2507.02739

\'Etude statistique du facteur premier m\'edian, 4: somme des inverses

Jonathan Rotgé
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Abstract

We consider the sum of the reciprocals of the middle prime factor of an integer, defined according to multiplicity or not. We obtain an asymptotic expansion in the first case and an asymptotic formula involving an implicit parameter in the second. Both these results improve on previous estimates available in the literature.

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Jonathan Rotgé. 2025-07-03. \'Etude statistique du facteur premier m\'edian, 4: somme des inverses. https://arxiv.org/abs/2507.02739

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