scientific article; zbMATH DE number 575559

zbMath0794.11014MaRDI QIDQ4294467

Henri Darmon

Publication date: 29 June 1994

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

conductorelliptic curveGalois representationinteger solution

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Higher degree equations; Fermat's equation (11D41)

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On the Fermat-type equation \(x^3+y^3=z^p\) ⋮ Solutions to \(x^4+py^4=z^4\) in cubic number fields ⋮ Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\) ⋮ On Jeśmanowicz' conjecture concerning primitive Pythagorean triples ⋮ On the difference of two fourth powers ⋮ Jeśmanowicz' conjecture on exponential Diophantine equations ⋮ INTEGERS REPRESENTED BY REVISITED ⋮ On Jeśmanowicz' conjecture concerning primitive Pythagorean triples. II ⋮ Homogeneous forms of degree 3 and \(p\)-th powers ⋮ Upper bounds for solutions of an exponential Diophantine equation ⋮ On the system of Diophantine equations \((m^2 - 1)^r + b^2 = c^2\) and \((m^2 - 1)^x + b^y = c^z\)

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