Add to ORKGWe prove that for all integers $k \geq 1$, there exists a constant $C_k$ depending only on $k$ such that for all $q > C_k$ and for all $n \geq 1$ every matrix in $M_n(\mathbb F_q)$ is a sum of two $k$th powers
AbstractWe investigate the question of which polynomials are not representable as the sum of “few” p...
Let A be an n × n complex matrix, and write A = H + iK, where i² = −1 and H and K are Hermitian matr...
AbstractLet k⩽n be two positive integers, and let F be a field with characteristic p. A sequence f:{...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
AbstractFor any prime number k ≥ 3 and any commutative ring A, we describe the subring Ak of A consi...
Motivated by recent results on the Waring problem for polynomial rings [4] and representation of mon...
Motivated by recent results on the Waring problem for polynomial rings [4] and representation of mon...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
AbstractSuppose n⩾2. We show that there is no integer v⩾1 such that for all commutative rings R with...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractLet A be an n × n complex matrix, and write A = H + iK, where i2 = −1 and H and K are Hermit...
Arne Winterhof (Braunschweig) 1. Introduction. Let g(k, pn) be the smallest s such that every elemen...
AbstractA matrix A ϵ Mn(F), F an arbitrary field with characteristic p (not necessarily positive), i...
AbstractLet A be an n × n complex matrix, and write A = H + iK, where i2 = −1 and H and K are Hermit...
AbstractWe investigate the question of which polynomials are not representable as the sum of “few” p...
Let A be an n × n complex matrix, and write A = H + iK, where i² = −1 and H and K are Hermitian matr...
AbstractLet k⩽n be two positive integers, and let F be a field with characteristic p. A sequence f:{...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
AbstractFor any prime number k ≥ 3 and any commutative ring A, we describe the subring Ak of A consi...
Motivated by recent results on the Waring problem for polynomial rings [4] and representation of mon...
Motivated by recent results on the Waring problem for polynomial rings [4] and representation of mon...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
Motivated by recent results on the Waring problem for polynomial rings and representation of monomia...
AbstractSuppose n⩾2. We show that there is no integer v⩾1 such that for all commutative rings R with...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractLet A be an n × n complex matrix, and write A = H + iK, where i2 = −1 and H and K are Hermit...
Arne Winterhof (Braunschweig) 1. Introduction. Let g(k, pn) be the smallest s such that every elemen...
AbstractA matrix A ϵ Mn(F), F an arbitrary field with characteristic p (not necessarily positive), i...
AbstractLet A be an n × n complex matrix, and write A = H + iK, where i2 = −1 and H and K are Hermit...
AbstractWe investigate the question of which polynomials are not representable as the sum of “few” p...
Let A be an n × n complex matrix, and write A = H + iK, where i² = −1 and H and K are Hermitian matr...
AbstractLet k⩽n be two positive integers, and let F be a field with characteristic p. A sequence f:{...