Integer Points on Curves of Genus 1

DOI10.1112/jlms/s2-28.1.1zbMath0487.10015OpenAlexW2017233542MaRDI QIDQ3947726

Joseph H. Silverman

Publication date: 1983

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-28.1.1

zbMATH Keywords

elliptic curvescubic equationcubic forminteger pointsMahler's methodnumber of integer solutionscurves of genus one

Mathematics Subject Classification ID

Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Related Items (12)

Rank gain of Jacobian varieties over finite Galois extensions ⋮ Positive rank quadratic twists of four elliptic curves ⋮ Quadratic integral solutions to double Pell equations ⋮ Integral points and the rank of elliptic curves over imaginary quadratic fields ⋮ On the Number of Solutions of Polynomial Congruences and Thue Equations ⋮ Heegner points and Mordell-Weil groups of elliptic curves over large fields ⋮ Mahler's work on Diophantine equations and subsequent developments ⋮ Integer points on cubic Thue equations ⋮ Infinite multiplicity of roots of unity of the Galois group in the representation on elliptic curves ⋮ Unnamed Item ⋮ Integer points, diophantine approximation, and iteration of rational maps ⋮ Enumerating solutions to 𝑝(𝑎)+𝑞(𝑏)=𝑟(𝑐)+𝑠(𝑑)

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