关于Puixix级数的代数性
On the algebraicity of Puiseux series
摘要：
我们处理的代数Puietrix级数的性质，其系数。我们证明了对于给定的有界次数，一个Puietrix级数的代数性是由有限个显式多项式公式决定的。相反，给定一个消失多项式，有一个关于多项式系数和级数初始部分的级数系数的封闭式公式。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
