Sums of cubes of polynomials

DOI10.4064/aa112-1-4zbMath1062.11078OpenAlexW2006237106MaRDI QIDQ4811213

Luis H. Gallardo, Mireille Car

Publication date: 18 August 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/112-1-3.html

zbMATH Keywords

finite fieldspolynomialsWaring's problem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (11)

Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\) ⋮ The strict Waring problem for polynomial rings ⋮ SUMS OF CUBES AND SQUARES OF POLYNOMIALS WITH COEFFICIENTS IN A FINITE FIELD ⋮ Every strict sum of cubes in \(\mathbb F_4[t\) is a strict sum of 6 cubes] ⋮ Waring’s problem for polynomials in two variables ⋮ Waring's problem for polynomial biquadrates over a finite field of odd characteristic ⋮ Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)] ⋮ Sums of seventh powers in the polynomial ring \(\mathbb{F}_{2^{m}}[T\)] ⋮ Algebraic stories from one and from the other pockets ⋮ Sums of fourth powers of polynomials over a finite field of characteristic 3 ⋮ Waring's problem in function fields

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