The diophantine equation \(a^ x + b^ y = c^ z\). III

DOI10.3792/PJAA.72.20zbMath0858.11017OpenAlexW2359513641MaRDI QIDQ1917601

Nobuhiro Terai

Publication date: 25 March 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.20

zbMATH Keywords

integral solutionexponential diophantine equations

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (5)

THE EXPONENTIAL DIOPHANTINE EQUATION n^x + (n + 1)^y = (n + 2)^z REVISITED ⋮ The complete solution of the Diophantine equation \((4m^2 + 1)^x + (5m^2 - 1)^y = (3m)^z\) ⋮ A note on the diophantine equation \(a^x+b^y=c^z\) ⋮ On Terai's conjecture concerning Pythagorean numbers ⋮ A conjecture concerning the pure exponential Diophantine equation \(a^x+b^y= c^z\)

Cites Work

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• The diophantine equation \(a^ x+b^ y=c^ z\)
• The diophantine equation \(a^ x +b^ y= c^ z\). II
• A note on the diophantine equation $x² + b^y = c^z$
• Bounds for the solutions of Thue-Mahler equations and norm form equations

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