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This article is cited in 5 scientific papers (total in 5 papers)
Polynomials in One Variable and Ranks of Certain Tangent Maps
Yu. G. Zarhinab a Pennsylvania State University
b Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Pushchino, Moskovskaya obl.
Abstract:
We study the map that sends a monic degree $n$ complex polynomial $f(x)$ without multiple roots to the collection of $n$ values of its derivative at the roots of $f(x)$. We give an answer to a question posed by Yu. S. Ilyashenko.
Keywords:
complex polynomial in one variable, tangent map, fixed points, multipliers.
Received: 02.10.2010 Revised: 25.05.2011
Citation:
Yu. G. Zarhin, “Polynomials in One Variable and Ranks of Certain Tangent Maps”, Mat. Zametki, 91:4 (2012), 539–550; Math. Notes, 91:4 (2012), 508–516
Linking options:
https://www.mathnet.ru/eng/mzm9324https://doi.org/10.4213/mzm9324 https://www.mathnet.ru/eng/mzm/v91/i4/p539
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Abstract page: | 483 | Full-text PDF : | 172 | References: | 48 | First page: | 14 |
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