Email this article On the Estimation of Coefficients of Irreducible Factors of Polynomials over a Field of Formal Power Series in Nonzero Characteristic
- Authors: Chistov A.L.1
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Affiliations:
- St. Petersburg Department of Steklov Mathematical Institute of the Academy of Sciences of Russia
- Issue: Vol 100, No 3 (2019)
- Pages: 542-544
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225740
- DOI: https://doi.org/10.1134/S1064562419060097
- ID: 225740
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Abstract
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.
About the authors
A. L. Chistov
St. Petersburg Department of Steklov Mathematical Institute of the Academy of Sciences of Russia
Author for correspondence.
Email: alch@pdmi.ras.ru
Russian Federation, St. Petersburg, 191023
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