Diophantine equations over global function fields. I: The Thue equation

DOI10.1016/j.jnt.2005.10.009zbMath1157.11011OpenAlexW1995956684MaRDI QIDQ852543

István Gaál, Michael E. Pohst

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.10.009

zbMATH Keywords

Thue equationsGlobal function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50)

Related Items (8)

On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\) ⋮ On the set of integral solutions of the pell equation in global function fields ⋮ Solving explicitly \(F(x,y)=G(x,y)\) over function fields ⋮ On Thue equations of splitting type over function fields ⋮ Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations ⋮ Solving resultant form equations over number fields ⋮ On solving norm equations in global function fields ⋮ Diophantine equations over global function fields. III: An application to resultant form equations

Uses Software

• KANT/KASH

Cites Work

• Algebraic function fields and codes
• Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains
• KANT V4
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