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SUMS OF CUBES AND SQUARES OF POLYNOMIALS WITH COEFFICIENTS IN A FINITE FIELD

Published online by Cambridge University Press:  01 January 2009

MIREILLE CAR  and
LUIS H. GALLARDO
MIREILLE CAR
Affiliation:
Université Paul Cézanne Aix-Marseille III, LATP, Faculté des Sciences et Techniques, Case cour A, Avenue Escadrille Normandie-Niemen, 13397 Marseille Cedex 20, France e-mail: Mireille.Car@univ-cezanne.fr
LUIS H. GALLARDO
Affiliation:
Département de Mathématiques, Université de Brest, 6, Avenue Victor Le Gorgeu, C.S. 93837, 29238 Brest Cedex 3, France e-mail: Luis.Gallardo@univ-brest.fr
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Abstract

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Let k be a finite field with q elements and characteristic coprime with 6. Our main result is: Every polynomial P ∈ k[T] is a strict sum of three cubes and two squares.

Keywords

11T5511R58
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 161 - 186
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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