WARING’S PROBLEM WITH DIGITAL RESTRICTIONS IN Fq[X]
نویسنده
چکیده
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 k-th powers, where the bases evaluated on additive functions meet certain congruence restrictions.
منابع مشابه
Additive functions for number systems in function fields
Let Fq be a finite field with q elements and p ∈ Fq [X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the ring Fq [X, Y ]/p(X, Y )Fq [X, Y ]. Our results comprise distribution results, exponential sum estimations as well as a version of Waring’s Problem restricted by such additive functions. Similar results have been shown for q...
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