Polynomial Mappings mod pⁿ

2001/03/07 by David L. desJardins, desJardins, David L., Michael E. Zieve +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0103046

23 pages, 7 figures. Text unchanged from version of August 1994

arxiv created 2001/03/07 · arxiv updated 2009/11/30

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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