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arXiv · 2311.06286

Solving non-separable polynomials over the field of Puiseux series via golden lifting

Ragon Ebker
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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.

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Ragon Ebker. 2023-11-02. Solving non-separable polynomials over the field of Puiseux series via golden lifting. https://arxiv.org/abs/2311.06286

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