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A note on Terai's conjecture concerning Pythagorean numbers

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Publication:1281918
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DOI10.3792/pjaa.74.80zbMath0919.11026OpenAlexW2052384241WikidataQ114023239 ScholiaQ114023239MaRDI QIDQ1281918

Xigeng Chen, Maohua Le

Publication date: 1 September 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.74.80


zbMATH Keywords

Pythagorean numbersexponential diophantine equationsTerai's conjectureprimitive Pythagorean triple


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Exponential Diophantine equations (11D61)


Related Items (5)

On Terai's conjecture ⋮ A NOTE ON THE DIOPHANTINE EQUATION ⋮ A new conjecture concerning the Diophantine equation \(x^2+b^y=c^z\). ⋮ On the generalized Ramanujan-Nagell equation \(x^2 + b^m = c^n\) with \(a^2 + b^r = c^2\) ⋮ A note on Terai's conjecture concerning primitive Pythagorean triples



Cites Work

  • Unnamed Item
  • The Diophantine equation $x^2 + q^m =p^n$
  • A note on the diophantine equation $x² + b^y = c^z$


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