Generalized Hensel's lemma, separants and resultants

• Grant number: 14/23645-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 01, 2015
• End date: March 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Yuri Ershov
• Visiting researcher institution: Siberian Branch of the Russian Academy of Sciences (SB RAS), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Hensel's lemma is an important tool for obtaining information on roots of polynomials in valued fields. Recently, the generalizations of Hensel's lemma was found with using of the notion of separant of a polinomial. But this notion was defined only for separable polynomials. Author proposed more general definition and extended Hensel's lemma and root continuity theorem for non separable polynomials. So now it is important to understand how to find (or calculate) the separant from polynomial data. The aim of the project is to consider this problem. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ERSHOV, YU. L.. How to Find (Compute) a Separant. Algebra and Logic, v. 54, n. 2, p. 155-160, MAY 2015. (14/23645-0)