Waring problem for matrices over finite fields

DOI10.1016/j.jpaa.2024.107656arXiv2306.06588MaRDI QIDQ6117886

Krishna Kishore, Sailun Zhan, Adrian Vasiu

Publication date: 20 March 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.06588

zbMATH Keywords

Waring problemmatrices over finite fields

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Cites Work

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• Clean endomorphism rings.
• Sums of \(d\)th powers in non-commutative rings
• Nil-clean companion matrices
• Surjectivity criteria for \(p\)-adic representations. I.
• Sums of diagonalizable matrices
• Matrices over finite fields as sums of periodic and nilpotent elements
• Waring's problem in finite rings
• Cyclic matrices in classical groups over finite fields
• Equations et variétés algébriques sur un corps fini
• Two classes of rings generated by their units
• Matrix Waring problem
• Nil-clean matrix rings
• Sums of \(n\)-th powers in fields of prime characteristic
• Sum-Product Estimates Applied to Waring's Problem over Finite Fields
• Matrices as Sums of Invertible Matrices
• Waring's Number in a Finite Field
• Matrices with Prescribed Characteristic Polynomials
• Existence of matrices with prescribed eigenvalues and entries
• Sums of Powers in Large Finite Fields
• Rings in which every element is the sum of two idempotents
• On Waring's problem in finite fields
• Matrices over a commutative ring as sums of three idempotents or three involutions
• On Similarity and the Diagonal of a Matrix
• Matrices with Prescribed Entries and Eigenvalues. I

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