A short proof for the Descartes-Frenicle-Sorli conjecture on odd perfect\n numbers

2013/07/16 by Jose Arnaldo B. Dris, Dris, Jose Arnaldo B.
Mathematics · #11J99 #Analytic Number Theory Research #FOS: Mathematics #Holomorphic and Operator Theory #Mathematics and Applications #Number Theory (math.NT) #Primary 11A05 #Secondary 11J25

paper · pdf · doi:10.48550/arxiv.1308.2156

openalex publication_date 2013/07/16 · openalex created_date 2022/09/06 · openalex updated_date 2026/07/28

Abstract

If N=q^kn² is an odd perfect number given in Eulerian form, then the\nDescartes-Frenicle-Sorli conjecture predicts that k=\ν_q(N)=1. In this\narticle, we give a short proof for this conjecture.\n

Citations

• New Results for Sorli's Conjecture on Odd Perfect Numbers - Part II

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