International audienceLet p be an odd prime number and let F be a finite field with p(m) elements. We study representations and strict representations of polynomials M epsilon F[T] by sums of (p(r) + 1)-th powers. A representation M = M-1(k) + ... + M-s(k) of M epsilon F[T] as a sum of k-th powers of polynomials is strict if k deg M-i < k + deg M
AbstractLet F be a field of characteristic p and let P(x)∈F[x] be a polynomial of degree m>0. Let A1...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
International audienceLet p be an odd prime number and let F be a finite field with p(m) elements. W...
International audienceLet F be a finite field with even characteristic and q >= 16 elements. We stud...
International audienceLet F be a finite field with 8 elements. We study representations of polynomia...
International audienceWe study representations of polynomials P in F4[T] as sums P = X17 + . . . + X...
AbstractIn this paper, we study the representations of a polynomial in the ring F2h[T] as sums A1B1 ...
AbstractIn this paper, we study the representations of a polynomial in the ring F2h[T] as sums A1B1 ...
Abstract. Let q be a power of 16. Every polynomial P ∈ Fq [t] is a strict sum P = A2 +A+B3 + C3 +D3 ...
Let q be a power of an odd prime p. For r 2 f1; 2g and p 6 = 3, we give bounds for the minimal non-n...
AbstractLet A=Fq[t] denote the ring of polynomials over the finite field Fq. We denote by e a certai...
International audienceLet F a finite field, Q a given element of F[T] with positive degree and k a p...
Abstract. Let 픽 푞 [푡] denote the ring of polynomials over the finite field 픽 푞 of characteristic 푝, ...
AbstractAn asymptotic formula is obtained for the number of representations of an element of a finit...
AbstractLet F be a field of characteristic p and let P(x)∈F[x] be a polynomial of degree m>0. Let A1...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
International audienceLet p be an odd prime number and let F be a finite field with p(m) elements. W...
International audienceLet F be a finite field with even characteristic and q >= 16 elements. We stud...
International audienceLet F be a finite field with 8 elements. We study representations of polynomia...
International audienceWe study representations of polynomials P in F4[T] as sums P = X17 + . . . + X...
AbstractIn this paper, we study the representations of a polynomial in the ring F2h[T] as sums A1B1 ...
AbstractIn this paper, we study the representations of a polynomial in the ring F2h[T] as sums A1B1 ...
Abstract. Let q be a power of 16. Every polynomial P ∈ Fq [t] is a strict sum P = A2 +A+B3 + C3 +D3 ...
Let q be a power of an odd prime p. For r 2 f1; 2g and p 6 = 3, we give bounds for the minimal non-n...
AbstractLet A=Fq[t] denote the ring of polynomials over the finite field Fq. We denote by e a certai...
International audienceLet F a finite field, Q a given element of F[T] with positive degree and k a p...
Abstract. Let 픽 푞 [푡] denote the ring of polynomials over the finite field 픽 푞 of characteristic 푝, ...
AbstractAn asymptotic formula is obtained for the number of representations of an element of a finit...
AbstractLet F be a field of characteristic p and let P(x)∈F[x] be a polynomial of degree m>0. Let A1...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
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