## An improvement of an inequality of Ochem and Rao concerning odd perfect numbers

*Zelinsky, Joshua*;

- Subject: 11A05 (Primary), 11A25 (Secondary) | Mathematics - Number Theory

Let $\Omega(n)$ denote the total number of prime divisors of $n$ (counting multiplicity) and let $\omega(n)$ denote the number of distinct prime divisors of $n$. Various inequalities have been proved relating $\omega(N)$ and $\Omega(N)$ when $N$ is an odd perfect number... View more

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