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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Le théorème de Fermat-Goss


Author: Laurent Denis
Journal: Trans. Amer. Math. Soc. 343 (1994), 713-726
MSC: Primary 11R58; Secondary 11D41
MathSciNet review: 1195509
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Abstract: The analogue of the Fermat equation and of the Fermat conjecture is studied by Goss [G], on the rational function fields in characteristic $ p > 0$. We prove here that this equation has no nontrivial solutions. When $ q = 2$, the method uses the canonical height on the t-module constructed in [D]. This method also gives finiteness theorems for some generalization of the Fermat equation in higher dimension.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1195509-1
PII: S 0002-9947(1994)1195509-1
Article copyright: © Copyright 1994 American Mathematical Society