Conditions Equivalent to the Descartes-Frenicle-Sorli Conjecture on Odd Perfect Numbers

Abstract

The Descartes-Frenicle-Sorli conjecture predicts that $k=1$ if $q^k{n}^2$ is an odd perfect number with Euler prime $q$. In this note, we present some conditions equivalent to this conjecture.

9 pages. arXiv admin note: text overlap with arXiv:1309.0906

References in corpus (1)

• A Partial Proof of a Conjecture of Dris