Sums of $(p^r+1)$-th powers in the polynomial ring $\Bbb F_{p^m}[T]$
Résumé
Let 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.