We discuss some results and problems related to the Newton–Puiseux algorithm and its generalization for nonzero characteristic obtained by the author earlier. A new method is suggested for obtaining effective estimates of the roots of a polynomial in the field of fractional power series in the case of arbitrary characteristic.

中文翻译：

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非零特征形式幂级数域上多项式不可约因数系数的估计

我们讨论了与 Newton-Puiseux 算法及其对作者之前获得的非零特征的推广相关的一些结果和问题。在分数幂级数领域中，提出了一种在任意特征情况下获得多项式根的有效估计的新方法。