On the global distance between two algebraic points on a curve.

DOI10.1016/j.jnt.2003.08.006zbMath1055.11046OpenAlexW2066358057MaRDI QIDQ1427981

Michel Laurent, Dimitrios Poulakis

Publication date: 14 March 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.08.006

zbMATH Keywords

Diophantine inequalitiesDiophantine equationsAlgebraic functionsHilbert's irreducibility Theorem

Mathematics Subject Classification ID

Rational points (14G05) Higher degree equations; Fermat's equation (11D41) Transcendence (general theory) (11J81) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items

POLYNOMIAL ROOT SEPARATION, ESTIMATES FOR THE SOLUTIONS OF CERTAIN DIOPHANTINE EQUATIONS BY RUNGE'S METHOD, REMARKS ON EISENSTEIN

Cites Work

• Calculus on arithmetic surfaces
• The Eisenstein constant
• Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one)
• Classical diophantine equations
• Polynomial bounds for the solutions of a class of diophantine equations
• Hilbert subsets and \(s\)-integral points
• On Weil's "Theoreme de Decomposition
• G-fonctions et théorème d'irreductibilite de Hilbert
• Heights and Arakelov's Intersection Theory
• Eisenstein's theorem on power series expansions of algebraic functions
• Arithmetic specializations in polynomials.
• A quantitative version of Runge's theorem on diophantine equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item