Sums and strict sums of biquadrates in \(\mathbb F_q[t]\), \(q \in \{3,9\}\)

DOI10.1216/RMJ-2010-40-6-1863zbMath1293.11106OpenAlexW1993440064MaRDI QIDQ618665

Luis H. Gallardo, L.N.Vaserstein and E.R.Wheland

Publication date: 17 January 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-6-1863

zbMATH Keywords

finite fieldspolynomialsbiquadratesWaring'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)

Cites Work

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• Every strict sum of cubes in \(\mathbb F_4[t\) is a strict sum of 6 cubes]
• The strict Waring problem for polynomial rings
• Every sum of cubes in \(\mathbb F_2[t\) is a strict sum of 6 cubes]
• Waring's problem for polynomial biquadrates over a finite field of odd characteristic
• Waring's problem for cubes and squares over a finite field of even characteristic
• Sums of Cubes in Polynomial Rings
• Une variante du problème de Waring sur F2n[t
• THEOREMS ON POLYNOMIALS IN A GALOIS FIELD

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