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A note on the exponential Diophantine equation \(a^x+b^y=c^z\)

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Publication:1884112
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DOI10.3792/pjaa.80.21zbMath1050.11040OpenAlexW2040038883MaRDI QIDQ1884112

Maohua Le

Publication date: 25 October 2004

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.80.21


zbMATH Keywords

exponential Diophantine equationsprimitive divisors of Lucas sequences


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)





Cites Work

  • On the exponential Diophantine equation \(a^x+b^y=c^z\)
  • Some exponential diophantine equations. I: The equation \(D_1x^2 - D_2y^2 = \lambda k^z\)
  • Existence of primitive divisors of Lucas and Lehmer numbers
  • Diophantine equations of the form x2 + D = yn.
  • Diophantine eaquations of the form ax2 + Db2 = yp.
  • Primitive Divisors of Lucas and Lehmer Sequences




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