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The Diophantine equation $x^4 + y^4 = 1$ in algebraic number fields

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Publication:5584667
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DOI10.4064/aa-14-4-347-355zbMath0191.04904OpenAlexW850308513MaRDI QIDQ5584667

L. J. Mordell

Publication date: 1968

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

Full work available at URL: https://eudml.org/doc/204863


zbMATH Keywords

algebraic number fieldsquartic Diophantine equations


Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)


Related Items (8)

Points on x4 + y4 + z4 = 0 over algebraic extensions of ℚ(i) ⋮ The equation \(x^4+2^ny^4=z^4\) in algebraic number fields ⋮ Solutions to \(x^4+py^4=z^4\) in cubic number fields ⋮ Fermat quartics with only trivial solutions in any odd degree number field ⋮ Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic ⋮ 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




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