On quartic Diophantine equations with trivial solutions in the Gaussian integers

DOI10.24330/ieja.964819zbMath1486.11046OpenAlexW3182026548MaRDI QIDQ5034892

Mahnaz Ahmadi, Ali S. Janfada

Publication date: 21 February 2022

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24330/ieja.964819

zbMATH Keywords

elliptic curvesDiophantine equationquartic equationnumber of solutions of Diophantine equations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Cites Work

• SOME QUARTIC DIOPHANTINE EQUATIONS IN THE GAUSSIAN INTEGERS
• On the Equation Y 2 = X(X 2 + p)
• The Diophantine Equation <em>x⁴</em> ± <em>y⁴</em> = <em>iz²</em> in Gaussian Integers
• The Arithmetic of Elliptic Curves
• Rational Points on Elliptic Curves
• Number Theory
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