The Diophantine Equation <em>x⁴</em> ± <em>y⁴</em> = <em>iz²</em> in Gaussian Integers

DOI10.4169/000298910X496769zbMath1250.11031arXiv1005.1528OpenAlexW2964252023WikidataQ58255802 ScholiaQ58255802MaRDI QIDQ3586273

Filip Najman

Publication date: 6 September 2010

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1528

zbMATH Keywords

elliptic curvesGaussian integersDiophantine equationsLutz-Nagell theoremPari/GP

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

On quartic Diophantine equations with trivial solutions in the Gaussian integers ⋮ SOME QUARTIC DIOPHANTINE EQUATIONS IN THE GAUSSIAN INTEGERS ⋮ Determination of Gaussian Integer Zeroes of F(x,z)=2x4−z3 ⋮ Fourth power Diophantine equations in Gaussian integers

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