# Sums of seventh powers in the polynomial ring $\mathbb{F}_{2^{m}}[T]$

### Mireille Car

Université Aix-Marseille III, France

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## Abstract

Let $F$ be a finite field with even characteristic and $q\geq16$ elements. We study representations of polynomials $P\in F[T]$ as sums $P = X_{1}^{7} +\cdots + X_{s}^{7}$.

## Cite this article

Mireille Car, Sums of seventh powers in the polynomial ring $\mathbb{F}_{2^{m}}[T]$. Port. Math. 68 (2011), no. 3, pp. 297–316

DOI 10.4171/PM/1893