Every strict sum of cubes in \(\mathbb F_4[t]\) is a strict sum of 6 cubes

DOI10.4171/PM/1807zbMath1239.11141OpenAlexW2056345932MaRDI QIDQ931847

Luis H. Gallardo

Publication date: 2 July 2008

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

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=65&iss=2&rank=4

zbMATH Keywords

finite fieldspolynomialscubesWaring's problemformscubic formscharacteristic two

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Polynomials in number theory (11C08) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

Sums and strict sums of biquadrates in \(\mathbb F_q[t\), \(q \in \{3,9\}\)] ⋮ Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)] ⋮ Sums of seventh powers in the polynomial ring \(\mathbb{F}_{2^{m}}[T\)]

Cites Work

• Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\)
• Every sum of cubes in \(\mathbb F_2[t\) is a strict sum of 6 cubes]
• Waring's problem for cubes and squares over a finite field of even characteristic
• Une variante du problème de Waring sur F2n[t
• Sums of cubes of polynomials

This page was built for publication: Every strict sum of cubes in \(\mathbb F_4[t]\) is a strict sum of 6 cubes