Jeśmanowicz' conjecture on exponential Diophantine equations

DOI10.7169/FACM/1323705814zbMath1266.11064OpenAlexW1985405758WikidataQ122979622 ScholiaQ122979622MaRDI QIDQ651798

Takafumi Miyazaki

Publication date: 19 December 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1323705814

zbMATH Keywords

Pythagorean triplesexponential Diophantine equationsgeneralized Fermat equationsBaker's theory

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Linear forms in logarithms; Baker's method (11J86)

Related Items (9)

On the exceptional solutions of Jeśmanowicz' conjecture ⋮ Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples ⋮ Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples. II ⋮ On Jeśmanowicz' conjecture concerning primitive Pythagorean triples ⋮ The exponential Diophantine equation \(\left(4 m^2 + 1\right)^x + \left(5 m^2 - 1\right)^y = (3 m)^z\) ⋮ On Jeśmanowicz' conjecture concerning primitive Pythagorean triples. II ⋮ Jeśmanowicz' conjecture for polynomials ⋮ The Diophantine equation (m2 + n2)x + (2mn)y = (m + n)2z ⋮ JEŚMANOWICZ’ CONJECTURE ON PYTHAGOREAN TRIPLES

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