Efficient Estimation of Roots from the Field of Fractional Power Series of a Given Polynomial in Nonzero Characteristic

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 efficient estimates of the roots of a polynomial in the field of fractional power series in the case...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-05, Vol.255 (2), p.149-154
Main Author: Chistov, A. L.
Format: Article
Language:English
Subjects:
Algorithms
Mathematics
Mathematics and Statistics
Polynomials
Power series
Online Access:Get full text
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Summary: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 efficient estimates of the roots of a polynomial in the field of fractional power series in the case of arbitrary characteristic.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05358-7