scientific article; zbMATH DE number 1121212

DOI10.1023/A:1000281602647zbMath0899.11013OpenAlexW2128771715MaRDI QIDQ4378071

J. Gebel, Horst G. Zimmer, Attila Pethoe

Publication date: 17 June 1998

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1000281602647

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algorithmsMordell-Weil groupcubic diophantine equationsMordell's equationHall's conjecturedistribution of integer pointslarge generatorslarge integer pointslarge Tate-Shafarevich groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25) Software, source code, etc. for problems pertaining to number theory (11-04) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Related Items (17)

From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture ⋮ On cubic polynomials with a given discriminant ⋮ Search for good examples of Hall’s conjecture ⋮ Mordell’s equation: a classical approach ⋮ On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\) ⋮ On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\) ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ On some generalized Lebesgue-Nagell equations ⋮ Some families of Mordell curves associated to cubic fields. ⋮ Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\) ⋮ Arithmetic progressions in linear combinations of \(S\)-units ⋮ LLL: A Tool for Effective Diophantine Approximation ⋮ Computing all integer solutions of a genus 1 equation ⋮ A new algorithm to search for small nonzero |𝑥³-𝑦²| values ⋮ The Brauer–Manin obstruction for integral points on curves ⋮ Quartic polynomials with a given discriminant ⋮ On elliptic curves whose conductor is a product of two prime powers

This page was built for publication: