Explicit bounds for the solutions of elliptic equations with rational coefficients

DOI10.1006/jsco.1997.0181zbMath0923.11048OpenAlexW2015213976MaRDI QIDQ1264452

Lajos Hajdu, Tamás Herendi

Publication date: 12 October 1999

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/90ef95eda71d65af7f0d6211a1841a764b1ac9a2

zbMATH Keywords

elliptic equationbounds for solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer solution of Diophantine equations (11Y50) Diophantine inequalities (11D75) Cubic and quartic Diophantine equations (11D25)

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Effectiveness of Siegel's theorem and the abc conjecture ⋮ Upper bounds for the height of \(S\)-integral points on elliptic curves ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations ⋮ Integral points on elliptic curves and 3-torsion in class groups ⋮ An absolute bound for the size of Diophantine \(m\)-tuples

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