Waring’s problem with digital restrictions in $$ \mathbb{F} $$ q[X]
Manfred G. Madritsch · Mathematica Slovaca · 2010
Abstract We present a generalization of a result due to Thuswaldner and Tichy to the ring of polynomials over a finite fields. In particular, we want to show that every polynomial of sufficiently large degree can be represented as sum of kth powers, where the bases evaluated on additive functions meet certain congruence restrictions.