The Diophantine Equation 𝑥⁴+2𝑦⁴=𝑧⁴+4𝑤⁴

DOI10.1090/S0025-5718-05-01805-3zbMath1138.11056MaRDI QIDQ3377004

Andreas-Stephan Elsenhans, Jörg Jahnel

Publication date: 27 March 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

rational point\(K3\) surfaceDiophantine equationcomputer solutiondiagonal quartic surface

Mathematics Subject Classification ID

Rational points (14G05) Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

Rational Points on Some Fano Quadratic Bundles ⋮ Rational points on diagonal quartic surfaces

Uses Software

• ARIBAS

Cites Work

• Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11--20, 2002
• La conjecture de Weil. I
• Enumerating solutions to 𝑝(𝑎)+𝑞(𝑏)=𝑟(𝑐)+𝑠(𝑑)
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