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
-
Affiliations:
- Saint-Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences
- Issue: Vol 489, No 3 (2019)
- Pages: 232-234
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/18577
- DOI: https://doi.org/10.31857/S0869-56524893232-234
- ID: 18577
Cite item
Full Text
Abstract
We discuss some problems and results 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 estimations of the roots of a polynomial in the field of fraction-power series in arbitrary characteristic.
About the authors
A. L. Chistov
Saint-Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: alch@pdmi.ras.ru
Russian Federation, 191023, St. Petersburg, Fontanka emb., 27
References
- Чистов А.Л. Расширение алгоритма Ньютона-Пюизе на случай ненулевой характеристики основного поля. I // Алгебра и анализ. 2016. Т. 28. № 6. С. 147-188.
- Chistov A.L. Polynomial Complexity of the Newton-Puiseux Algorithm / In: Ed. J. Gruska, B. Rovan. Wiedermann International Symposium on Mathematical Foundations of Computer Science 1986. Lecture Notes in Computer Science. Springer-Verlag, 1986. V. 233. P. 247-255.
- Боревич З.И., Шафаревич И.Р. Теория чисел. М.: Наука, 1964.
Supplementary files
