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On the diophantine equation $x^2 + b^y = c^z$

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Publication:4396708
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DOI10.4064/aa-84-2-145-147zbMath0895.11016OpenAlexW1015472219MaRDI QIDQ4396708

Pingzhi Yuan, Jiabao Wang

Publication date: 22 June 1998

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207139


zbMATH Keywords

exponential diophantine equationsTerai's conjecture


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)


Related Items (6)

On the Diophantine equation \(x^2+b^m=c^n\) with \(a^2+b^4=c^2\) ⋮ On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\) ⋮ On Terai's conjecture ⋮ 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




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