On the size of integer solutions of elliptic equations

DOI10.1017/S0004972700031592zbMath0908.11015MaRDI QIDQ4399425

Yann Bugeaud

Publication date: 29 November 1998

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

zbMATH Keywords

upper boundselliptic equationcubic diophantine equationsmultiplicative heights

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

Effectiveness of Siegel's theorem and the abc conjecture ⋮ ON THE NUMBER OF INTEGER POINTS ON THE ELLIPTIC CURVE y² = x³ + Ax ⋮ Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations ⋮ Practical solution of the Diophantine equation $y^2 = x(x+2^ap^b)(x-2^ap^b)$

Cites Work

• An upper bound for the size of integral solutions to \(Y^ m= f(X)\)
• Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques
• The Diophantine Equation y ² = ax ³ +bx ² +cx +d
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the size of integer solutions of elliptic equations