Polynomial functions in the residue class rings of Dedekind domains
Xiumei Li, Min Sha · International Journal of Number Theory · 2019
In this paper, as an extension of the integer case, we define polynomial functions over the residue class rings of Dedekind domains, and then we give canonical representations and counting formulas for such polynomial functions. In particular, we give an explicit formula for the number of polynomial functions over the residue class rings of polynomials over finite fields.