The exponential Diophantine equation \(x^y + y^x = y^2\) with \(xy\) odd

DOI10.1007/S10998-013-5083-5zbMath1313.11075OpenAlexW2464866868MaRDI QIDQ485540

Xiaoying Wang

Publication date: 9 January 2015

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-013-5083-5

zbMATH Keywords

fundamental solutionexponential Diophantine equationPell equation

Mathematics Subject Classification ID

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

Related Items (2)

The exponential diophantine equation xy + yx = z2 via a generalization of the Ankeny–Artin–Chowla conjecture ⋮ Majorations Effectives Pour L’ Équation de Fermat Généralisée

Cites Work

• Unnamed Item
• Tables of ideal class groups of real quadratic fields
• On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\)
• On the Diophantine equation \(y^x-x^y=z^2\)
• Unsolved problems in number theory
• On the equation \(y^x\pm x^y=z^2\)

This page was built for publication: The exponential Diophantine equation \(x^y + y^x = y^2\) with \(xy\) odd