Waring's problem for algebras over fields
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Publication:1092106
DOI10.1016/0022-314X(87)90085-0zbMath0624.10049OpenAlexW2075119953MaRDI QIDQ1092106
L.N.Vaserstein and E.R.Wheland
Publication date: 1987
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-314x(87)90085-0
Waring's problem and variants (11P05) General commutative ring theory (13A99) Polynomials and matrices (11C99)
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Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\) ⋮ Vanishing Polynomial Sums ⋮ The strict Waring problem for polynomial rings ⋮ Infinite easier Waring constants for commutative rings ⋮ Sums of biquadrates and cubes in \(\mathbb F_q[t\)] ⋮ Waring’s problem for polynomials in two variables ⋮ Matrices over commutative rings as sums of $k$-th powers ⋮ The unrestricted variant of Waring's problem in function fields ⋮ Commutators and images of noncommutative polynomials ⋮ Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)] ⋮ Waring's problem for integral quaternions ⋮ Matrices over commutative rings as sums of fifth and seventh powers of matrices ⋮ Waring's problem in function fields
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