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Radical extensions for the Carlitz module

✍ Scribed by Sánchez-Mirafuentes, Marco; Villa-Salvador, Gabriel

Book ID: 121693259
Publisher: Elsevier Science
Year: 2014
Tongue: English
Weight: 336 KB
Volume: 398
Category: Article
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.09.029

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We define the adjoint \(\phi^{*}\) of a Drinfeld module \(\phi\) and discuss the duality between the \(v\)-adic realizations of \(\phi\) and \(\phi^{*}\). We then introduce Fermat equations for the adjoint of the Carlitz module and show how an analog of Fermat's Last Theorem holds for them. 1995 Aca