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Polynomial functions in the residue class rings of Dedekind domains

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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… Click to show full abstract

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.

Keywords: residue class; rings dedekind; polynomial functions; functions residue; class rings

Journal Title: International Journal of Number Theory
Year Published: 2019

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