Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 51, No. 4, pp. 571-581 (1994)

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A Generalization of a Theorem of Carlitz

Mireille Car

Laboratoire de Mathématiques, Faculté de Saint-Jerôme
Avenue Escadrille Normandie-Niemen, 13397 Marseille Cedex 13 - FRANCE

Abstract: Extending Carlitz's theorem on sums of two squares, we study the number of representations of a polynomial in $\F_q[T]$ as a norm in the extension $\F_{q^h}[T]$ of $\F_q[T]$ of a polynomial in $\F_{q^h}[T]$.

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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