Matrices over orders in algebraic number fields as sums of $k$-th powers

DOI10.1090/S0002-9939-99-05206-5zbMath0937.11010OpenAlexW1492299908MaRDI QIDQ4699564

S. A. Katre, Sangita A. Khule

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05206-5

zbMATH Keywords

sums of powersmatrices over orders

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic numbers; rings of algebraic integers (11R04) Additive number theory; partitions (11P99) Matrices, determinants in number theory (11C20)

Related Items (4)

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 ⋮ Matrices over commutative rings as sums of fifth and seventh powers of matrices

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