On the Diophantine equation $x^4+y^4=c$

DOI10.4064/aa210718-5-4zbMath1503.11069OpenAlexW4285247957MaRDI QIDQ5097207

Unnamed Author, Andrew Bremner

Publication date: 22 August 2022

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

Full work available at URL: https://doi.org/10.4064/aa210718-5-4

zbMATH Keywords

rational pointsalgebraic number theoryFermat quartics

Mathematics Subject Classification ID

Units and factorization (11R27) Rational points (14G05) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields

Cites Work

• A new characterization of the integer 5906
• The Magma algebra system. I: The user language
• The Fermat cubic and quartic curves over cyclic fields
• Covering collections and a challenge problem of Serre
• Some Quartic Curves with no Points in any Cubic Field
• Algebraic points on cubic hypersurfaces
• Some quartic curves with no points in any cubic field
• Number Theory
• The arithmetic of certain quartic curves
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