Sums of $(2^r+1)$-th powers in the polynomial ring $\mathbb F_{2^m}[T]$
Mireille Car · Portugaliae Mathematica · 2010
supp { vertical-align: 0.8ex; font-size:75%; } subb { vertical-align: -0.8ex; font-size:75%; } .ions { line-height: 1.8; } .ions subb {position: relative; top: 4; left: 1; } .ions supp {position: absolute; top: 70; left:985; } Let F be a finite field with 2m elements and let k = 2r + 1. We study representations and strict representations of polynomials M ∈ F\[T] by sums of k-th powers. A representation M = Mk1 + ··· + Mks of M ∈ F\[T] as a sum of k-th powers of polynomials is strict if k deg Mi < k + deg M.