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Polynomial Mappings mod pn

David L. desJardins, Michael E. Zieve

math.NTarXiv:math/0103046

Abstract

Let f(x) be a polynomial with integer coefficients, let n be a positive integer, and let p be an odd prime. Then the mapping x-->f(x) sends Z/pn into Z/pn. We study the topological structure of this mapping.

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