Title: On the quantity $I(q^k) + I(n^2)$ where $q^k n^2$ is an odd perfect number -- Part II
Abstract: In this note, we continue an approach pursued in an earlier paper of the second author and thereby attempt to produce an improved lower bound for the sum $I(q^k) + I(n^2)$, where $q^k n^2$ is an odd perfect number with special prime $q$ and $I(x)$ is the abundancy index of the positive integer $x$. In particular, this yields an upper bound for $k$.
Publication Year: 2021
Publication Date: 2021-08-05
Language: en
Type: preprint
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