Solving non-separable polynomials over the field of Puiseux series via golden lifting
Number Theory
2023-11-14 v1
Abstract
We develop an iterative method to calculate the roots of arbitrary polynomials over the field of Puiseux series including non-separable ones. The method works by transforming the polynomial and its roots into a special form and then extracting a new, univariate polynomial that contains information about our roots. We also provide a working implementation of the algorithm in Python.
Cite
@article{arxiv.2311.06286,
title = {Solving non-separable polynomials over the field of Puiseux series via golden lifting},
author = {Ragon Ebker},
journal= {arXiv preprint arXiv:2311.06286},
year = {2023}
}
Comments
6 pages, 1 figure