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arXiv · 1503.04965

On the algebraicity of Puiseux series

Michel Hickel·Mickaël Matusinski
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Abstract

We deal with the algebraicity of a Puiseux series in terms of the properties of its coefficients. We show that the algebraicity of a Puiseux series for given bounded degree is determined by a finite number of explicit polynomial formulae. Conversely, given a vanishing polynomial, there is a closed-form formula for the coefficients of the series in terms of the coefficients of the polynomial and of an initial part of the series.

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Michel Hickel, Mickaël Matusinski. 2015-05-13. On the algebraicity of Puiseux series. https://doi.org/10.1007/s13163-017-0236-3

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