The waring problem for matrices
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Publication:3778833
DOI10.1080/03081088708817831zbMath0638.10054OpenAlexW1985450734MaRDI QIDQ3778833
Publication date: 1987
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081088708817831
Waring's problem and variants (11P05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
Related Items (8)
Matrices over non-commutative rings as sums of powers ⋮ Matrices over commutative rings as sums of higher powers ⋮ Integral matrices as diagonal quadratic forms ⋮ Matrices over noncommutative rings as sums of kth powers ⋮ Matrices over commutative rings as sums of $k$-th powers ⋮ Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices ⋮ Waring's problem for integral quaternions ⋮ Matrices over commutative rings as sums of fifth and seventh powers of matrices
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- Solutions of x 4 + y 4 = z 4 in 2 × 2 Integral Matrices
- Solutions of A k + B k = C k in n × n Integral Matrices
- Fermat's Equation A<sup>p</sup>+B<sup>p</sup>=C<sup>p</sup> for Matrices of Integers
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