On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields
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Publication:6102961
DOI10.4064/aa220613-14-2OpenAlexW4361762860MaRDI QIDQ6102961
Andrew Bremner, Nguyen Xuan Tho
Publication date: 10 May 2023
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/aa220613-14-2
Rational points (14G05) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25)
Cites Work
- A new characterization of the integer 5906
- The Magma algebra system. I: The user language
- Fermat quartics with only trivial solutions in any odd degree number field
- Some Quartic Curves with no Points in any Cubic Field
- Congruence Properties of Congruent Numbers
- On the Diophantine equation $x^4+y^4=c$
- The arithmetic of certain quartic curves
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