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

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

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.

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Veröffentlicht in:Glasgow mathematical journal 2009-01, Vol.51 (1), p.161-186
Hauptverfasser: CAR, MIREILLE, GALLARDO, LUIS H.
Format: Artikel
Sprache:eng
Schlagworte:
11R58
11T55
Finite volume method
Mathematics
Polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089508004618