Open AccessOn the estimation of coefficients of irreducible factors of polynomials over a field of formal power series in nonzero characteristic
Author(s) -
A. L. Chistov
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524893232-234
Subject(s) - mathematics , formal power series , generalization , series (stratigraphy) , field (mathematics) , power series , polynomial , fraction (chemistry) , power (physics) , pure mathematics , mathematical analysis , physics , paleontology , chemistry , organic chemistry , quantum mechanics , biology
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.