Elliptic binomial diophantine equations

DOI10.1090/S0025-5718-99-01047-9zbMath0920.11014OpenAlexW2077075675MaRDI QIDQ4240593

Roelof J. Stroeker, Benjamin M. M. de Weger

Publication date: 28 April 1999

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01047-9

zbMATH Keywords

elliptic curvesbinomial coefficientslinear forms in elliptic logarithmselliptic binomial diophantine equations

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (10)

On the Elliptic Logarithm Method for Elliptic Diophantine Equations: Reflections and an Improvement ⋮ The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\) ⋮ Computing all integer solutions of a genus 1 equation ⋮ Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations ⋮ Equal values of pyramidal numbers ⋮ Binomial collisions and near collisions ⋮ On the spacings between \(C\)-nomial coefficients ⋮ On the Diophantine equation \(F(\binom{x}{n})=b\binom{y}{m}\) ⋮ Binomial coefficients and Lucas sequences

Uses Software

• APECS
• ecdata

Cites Work

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• A BINOMIAL DIOPHANTINE EQUATION

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