Hensel's Lemma, Backward Dynamics and p-adic Approximations
Number Theory
2014-04-15 v3
Abstract
The problem of backward dynamics over the ring of p-adic integers is studied. It is shown that Inverse Limit Theory provides the right framework. Backward iterations of a polynomial with p-adic integer coefficients are constructed by solving congruences modulo powers of p, which inturn are solved by Hensel's lifting lemma.
Cite
@article{arxiv.1302.2324,
title = {Hensel's Lemma, Backward Dynamics and p-adic Approximations},
author = {Sushma Palimar},
journal= {arXiv preprint arXiv:1302.2324},
year = {2014}
}