On the possibility of \(x^4+y^4=z^4\) in quadratic fields

zbMath0008.29502MaRDI QIDQ1839848

Alexander Aigner

Publication date: 1934

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/145998

zbMATH Keywords

quartic Diophantine equationssolution in quadratic fields

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)

Related Items (8)

FERMAT'S EQUATION OVER 2-BY-2 MATRICES ⋮ Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic ⋮ The \(abc\)-conjecture for algebraic numbers ⋮ Quadratic points on modular curves ⋮ On quadratic solutions of \(x^4+py^4=z^4\) ⋮ The Fermat equation over \(\mathbb Q(\sqrt 2)\) ⋮ THE DIOPHANTINE EQUATION IN QUADRATIC NUMBER FIELDS ⋮ Elliptic Curves with no Rational Points

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