2018/93/1-2 (5) — DOI: 10.5486/PMD.2018.7992 — pp. 57-71
Full Text Abstract

On the simultaneous equations $\sigma(2^a)=p^{f_1}q^{g_1}$, $\sigma(3^b)=p^{f_2}q^{g_2}$, $\sigma(5^c)=p^{f_3}q^{g_3}$

Authors: Tomohiro Yamada

Keywords: odd perfect numbers, sum of divisors, exponential diophantine equations

Mathematics Subject Classification: 11A05, 11A25, 11A51, 11D61