Some Interesting Integer Polynomial Maps

2013/01/03 by Alexander Borisov, Borisov, Alexander
Mathematics · #37P05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.DS #math.NT #msc:37P05

paper · pdf · doi:10.48550/arxiv.1301.0517

2 pages

arxiv created 2013/01/03 · openalex publication_date 2013/01/03 · arxiv updated 2013/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce three simple polynomial maps with integer coefficients that have interesting dynamical properties modulo primes.

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• Polynomial products modulo primes and applications
• Reduction of polynomial dynamical systems modulo primes
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