Elementary results for certain Diophantine equations

DOI10.5802/jtnb.379zbMath1067.11014OpenAlexW2326588895MaRDI QIDQ558138

Pierre Samuel

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2002__14_2_629_0

zbMATH Keywords

quartic Diophantine equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Related Items

Solving the Diophantine equation \(y^2=x(x^2 - n^2)\), Integer solutions to the equation \(y^2=x(x^2\pm p^k)\), Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$, INTEGRAL POINTS ON CONGRUENT NUMBER CURVES

Cites Work

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• The Diophantine equation x⁴ - Dy² = 1, II
• THE DIOPHANTINE EQUATION x⁴−Dy²=1