A note on the diophantine equation $x² + b^y = c^z$

DOI10.4064/aa-71-3-253-257zbMath0820.11023OpenAlexW1030966681MaRDI QIDQ4839697

Maohua Le

Publication date: 17 July 1995

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

Full work available at URL: https://eudml.org/doc/206772

zbMATH Keywords

Baker's methodexponential diophantine equationprimitive pythagorean triplelower bound for a linear form in two logarithms

Mathematics Subject Classification ID

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

Related Items (8)

On the Diophantine equation \(x^2+b^m=c^n\) with \(a^2+b^4=c^2\) ⋮ The diophantine equation \(a^ x + b^ y = c^ z\). III ⋮ Unnamed Item ⋮ On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\) ⋮ A new conjecture concerning the Diophantine equation \(x^2+b^y=c^z\). ⋮ A note on Terai's conjecture concerning Pythagorean numbers ⋮ 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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