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Sums of seventh powers in the polynomial ring \(\mathbb{F}_{2^{m}}[T]\)

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Publication:719803
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DOI10.4171/PM/1893zbMath1271.11115MaRDI QIDQ719803

Mireille Car

Publication date: 12 October 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)


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)




Cites Work

  • Every strict sum of cubes in \(\mathbb F_4[t\) is a strict sum of 6 cubes]
  • Sums of fourth powers of polynomials over a finite field of characteristic 3
  • Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)]
  • The strict Waring problem for polynomial rings
  • Every sum of cubes in \(\mathbb F_2[t\) is a strict sum of 6 cubes]
  • On the restricted Waring problem over $
  • Sums of cubes of polynomials
  • Waring's Problem
  • Unnamed Item
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