A note on Jeśmanowicz' conjecture concerning primitive Pythagorean triples

DOI10.1016/j.jnt.2015.04.009zbMath1395.11066OpenAlexW1005121040WikidataQ114157472 ScholiaQ114157472MaRDI QIDQ2352015

Hai Yang, Ruiqin Fu

Publication date: 29 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.04.009

zbMATH Keywords

exponential Diophantine equationJeśmanowicz' conjectureprimitive Pythagorean triple

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (4)

On the exponential Diophantine equation \((am^2 + 1)^x + (bm^2 - 1)^y= (cm)^z\) with \(c \mid m\) ⋮ An application of the Baker method to Jeśmanowicz' conjecture on Pythagorean triples ⋮ Dem'janenko's theorem on Jeśmanowicz' conjecture concerning Pythagorean triples revisited ⋮ A NOTE ON JEŚMANOWICZ’ CONJECTURE CONCERNING NONPRIMITIVE PYTHAGOREAN TRIPLES

Cites Work

• On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases.
• Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples
• THE DIOPHANTINE EQUATION A⁴ + 2^δB² = Cⁿ
• On the conjecture of Jesmanowicz concerning Pythagorean triples
• A note on Jeśmanowicz' conjecture concerning Pythagorean triples
• A NOTE ON THE DIOPHANTINE EQUATION
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