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ON THE DIOPHANTINE EQUATION axy + byz + czx = 0

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Publication:2880338
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DOI10.1142/S1793042112500467zbMath1271.11040OpenAlexW1746300340MaRDI QIDQ2880338

Zhongfeng Zhang, Pingzhi Yuan

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112500467


zbMATH Keywords

linear forms in logarithmsgreatest prime factorhigher degree Diophantine equation


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)


Related Items (2)

A note on the equation \(x^y + y^z = z^x\) ⋮ On the odd prime solutions of the Diophantine equation \(x^y + y^x = z^z\)



Cites Work

  • Unnamed Item
  • On the \(abc\) conjecture. II.
  • Modular elliptic curves and Fermat's Last Theorem
  • Linear forms in p-adic logarithms and the Diophantine equation formula here


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