Some Interesting Integer Polynomial Maps

TL;DR

This paper introduces three simple polynomial maps with integer coefficients that exhibit intriguing dynamical behaviors when considered modulo prime numbers.

Contribution

The paper presents new polynomial maps with unique dynamical properties, expanding understanding of polynomial behavior in modular arithmetic.

Findings

Maps show distinct dynamical patterns modulo primes

New polynomial maps with interesting properties

Potential applications in number theory and cryptography

Abstract

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