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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

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✦ 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.


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