Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices

zbMath1493.11063arXiv2012.13855MaRDI QIDQ5088739

Rakesh Barai, Anuradha S. Garge

Publication date: 13 July 2022

Full work available at URL: https://arxiv.org/abs/2012.13855

zbMATH Keywords

Waring's problem for matrices

Mathematics Subject Classification ID

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 (1)

Matrices over commutative rings as sums of higher powers

Cites Work

• Sums of squares of matrices
• On the sum powers of matrices
• The waring problem for matrices
• Matrices as sums of squares
• Matrices over orders in algebraic number fields as sums of $k$-th powers
• Matrices over commutative rings as sums of $k$-th powers
• Matrices over commutative rings as sums of fifth and seventh powers of matrices
• Matrices over non-commutative rings as sums of powers
• Matrices over noncommutative rings as sums of kth powers

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