Étude statistique du facteur premier médian, 4: somme des inverses

2025/07/03 by Rotgé, Jonathan
#11N25 11N37 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2507.02739

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.

Citations

• Étude statistique du facteur premier médian, 2 : lois locales
• Étude statistique du facteur premier médian, 1 : valeur moyenne
• The distribution of intermediate prime factors

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