On the diophantine equation $x^2 — Dy^4 = k$

DOI10.4064/aa-46-3-257-269zbMath0543.10017OpenAlexW1275842949MaRDI QIDQ3331279

Nicholas Tzanakis

Publication date: 1986

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206002

zbMATH Keywords

quartic diophantine equationrational integer coefficientsp-adic method\(x**2-3y**4=46\)semi-real biquadratic form

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)

Related Items (6)

Integral points on certain elliptic curves ⋮ On the practical solution of the Thue equation ⋮ On the application of Skolem's p-adic method to the solution of Thue equations ⋮ Integral points on a certain family of elliptic curves ⋮ Diagonalizable quartic Thue equations with negative discriminant ⋮ Square product of three integers in short intervals

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