2019/95/1-2 (2) — DOI: 10.5486/PMD.2019.8283 — pp. 19-37
Full Text Abstract

A study on the exponential Diophantine equation $a^x+(a+b)^y=b^z$

Authors: Takafumi Miyazaki and Nobuhiro Terai

Keywords: exponential Diophantine equation, Ramanujan-Nagell equation, simultaneous non-Archimedean valuations

Mathematics Subject Classification: 11D61