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

DOI10.5486/PMD.2018.7992zbMath1413.11010arXiv1703.10555OpenAlexW2964043949MaRDI QIDQ4584448

Tomohiro Yamada

Publication date: 3 September 2018

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10555

zbMATH Keywords

sum of divisorsexponential Diophantine equationsodd perfect numbers

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Exponential Diophantine equations (11D61)

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