Diophantine equations over global function fields I: The Thue equation

✍ Scribed by István Gaál; Michael Pohst

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 141 KB
• Volume: 119
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2005.10.009

✦ Synopsis

We solve completely Thue equations in function fields over arbitrary finite fields. In the function field case such equations were formerly only solved over algebraically closed fields (of characteristic zero and positive characteristic). Our method can be applied to similar types of Diophantine equations, as well.