A Short Proof for Sorli's Conjecture on Odd Perfect Numbers

Jose Arnaldo B. Dris

Published 2013-07-16, updated 2014-10-03Version 3

If $N={q^k}{n^2}$ is an odd perfect number given in Eulerian form, then Sorli's conjecture predicts that $k=\nu_{q}(N)=1$. In this article, we give a short proof for this conjecture.