An application of Frey's idea to exponential diophantine equations

DOI10.3792/pjaa.70.261zbMath0816.11023OpenAlexW1985590319MaRDI QIDQ1344794

Norio Adachi

Publication date: 23 July 1995

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.70.261

zbMATH Keywords

elliptic curvesexponential diophantine equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items

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

Uses Software

• ecdata

Cites Work

• 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
• The Diophantine equation $x^2 + q^m =p^n$
• An effective p-adic analogue of a theorem of Thue III. The diophantine equation $y^2 = x^2 + k$
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