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Matematicheskie Zametki, 2012, Volume 91, Issue 4, Pages 539–550
DOI: https://doi.org/10.4213/mzm9324 (Mi mzm9324) 		 
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.
Full-text PDF (490 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm9324
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
English version:
Mathematical Notes, 2012, Volume 91, Issue 4, Pages 508–516
DOI: https://doi.org/10.1134/S000143461203025X
Bibliographic databases:
Document Type: Article
UDC: 517.535.2+517.927.7
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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