Olver's Method for Approximating Roots of p-Adic Polynomials Equations

Abstract

Let ${\mathbb{Z}}_p[x]$ be the set of all functions whose coefficients are in the field of $p$-adic integers ${\mathbb{Z}}_p$. This work considers a problem of finding a root of a polynomial equation $P(x)=0$ where $P(x)\in {\mathbb{Z}}_p[x]$. The solution is approached through an analogue of Olver's method for finding roots of polynomial equations $P(x)=0$ in ${\mathbb{Z}}_p$.

9 pages

References in corpus (1)

• A p-Adic Model of DNA Sequence and Genetic Code