✦ LIBER ✦

On polynomial functions from Zn to Zm

✍ Scribed by Zhibo Chen

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 354 KB
Volume: 137
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)e0162-w

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✦ Synopsis

We define the concept of a polynomial function from Z. to Z,., which is a generalization of the well-known polynomial function from Z. to Z.. We obtain a necessary and sufficient condition on n and m for all functions from Z. to Z., to be polynomial functions. Then we present canonical representations and the counting formula for the polynomial functions from Z. to Z,.. Further, we give an answer to the following problem: How to determine whether a given function from Z. to Zm is a polynomial function, and how to obtain a polynomial to represent a polynomial function?

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