Descent methods for studying integer points on \(y^p = f(x) g(x)\), for \(p\) odd prime

MaRDI QIDQ6663752

Konstantinos A. Draziotis

Publication date: 14 January 2025

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

zbMATH Keywords

Thue equationsDiophantine equationscomputational number theorysuperelliptic curvesChevalley-Weil theorem

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Number-theoretic algorithms; complexity (11Y16) Counting solutions of Diophantine equations (11D45) Higher degree equations; Fermat's equation (11D41)

Cites Work

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• Rational approximation to algebraic numbers of small height: The Diophantine equation \(|ax^n-by^n|=1\)
• On the Rational Points of the Curve f (X,Y)^q = h(X)g(X,Y)
• An Effective Version of Chevalley-Weil Theorem for Projective Plane Curves
• Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$
• Rational points of a class of algebraic curves

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