A. L. Chistov, “Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I”, Algebra i Analiz, 2016, Volume 28, Issue 6,Pages <nobr>147

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Research Papers

Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I

A. L. Chistov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The Newton–Puiseux algorithm for constructing roots of polynomials in the field of fractional power series is generalized to the case of a ground field of nonzero characteristic.

Keywords: Newton broken lines, nonzero characteristic of the ground field, generalization of the Newton-Puiseux expansions.

Received: 19.08.2016