Upper bounds for the height of \(S\)-integral points on elliptic curves

DOI10.1007/s11139-012-9440-4zbMath1362.11065arXiv1208.2693OpenAlexW2086359187MaRDI QIDQ385620

Andrea Surroca, Vincent Bosser

Publication date: 2 December 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2693

zbMATH Keywords

elliptic curvesheights\(S\)-integral pointslinear forms in elliptic logarithms

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Heights (11G50) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effectiveness of Siegel's theorem and the abc conjecture
• The arithmetic of elliptic curves
• Elliptic functions and transcendence
• Explicit bounds for the solutions of elliptic equations with rational coefficients
• Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture
• Zur Funktionentheorie einer Veränderlichen über einem vollständigen nichtarchimedischen Grundkörper
• The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
• Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms
• Elliptic Curves
• Minorations de formes linéaires de logarithmes elliptiques
• Notes on elliptic curves. II.
• Sur l'équation y² = x³ - Ax - B dans les corps p-adiques.

This page was built for publication: Upper bounds for the height of \(S\)-integral points on elliptic curves