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A note on the diophantine equation \((m^3-3m)^x+(3m^2-1)^y=(m^2+1)^z\)

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Publication:1387935
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DOI10.3792/PJAA.73.148zbMath0910.11010OpenAlexW2087178814MaRDI QIDQ1387935

Maohua Le

Publication date: 21 February 1999

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.73.148


zbMATH Keywords

exponential diophantine equations


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)


Related Items (3)

On the Diophantine system \(a^2+ b^2 = c^3\) and \(a^x + b^y = c^z\) for \(b\) is an odd prime ⋮ On the Terai-Jésmanowicz conjecture ⋮ On Terai's conjecture concerning Pythagorean numbers




Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the equations \(p^x - b^y = c\) and \(a^x + b^y = c^z\)
  • The diophantine equation \(a^ x+b^ y=c^ z\)




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