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

DOI10.3792/pjaa.71.109zbMath0842.11009OpenAlexW2372764239MaRDI QIDQ1908712

Nobuhiro Terai

Publication date: 28 July 1996

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.71.109

zbMATH Keywords

exponential diophantine equationpositive integral solution

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (7)

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

Cites Work

• Unnamed Item
• On a conjecture on Pythagorean numbers
• On a conjecture on Pythagorean numbers. II
• The diophantine equation \(a^ x+b^ y=c^ z\)
• On a conjecture on Pythagorean numbers. III
• An application of Frey's idea to exponential diophantine equations
• Eight Diophantine Equations

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