THE DIOPHANTINE EQUATION IN QUADRATIC NUMBER FIELDS

DOI10.1017/S0004972720001173zbMath1472.11095OpenAlexW3096581159MaRDI QIDQ4999612

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Publication date: 7 July 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720001173

zbMATH Keywords

quartic Diophantine equationsquadratic number fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

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

Cites Work

• Unnamed Item
• On the possibility of \(x^4+y^4=z^4\) in quadratic fields
• On quadratic solutions of \(x^4+py^4=z^4\)
• The Diophantine equation $x^4 + y^4 = 1$ in algebraic number fields

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