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Seminar on Complex Analysis (Gonchar Seminar)
October 26, 2015 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


Enumeration problems associated with Zolotarev fractions

A. B. Bogatyrev

Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow

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Abstract: Known properties of the Chebyshev polynomials: simple critical points and only two (finite) critical values. Those properties uniquely determine the polynomials modulo affine transformations of dependent and independent variables.
A similar property of Zolotarev fractions: simple critical points and only four critical values ​​generates already many classes of rational functions modulo projective transformations of the dependent and independent variables. They will be listed in the talk.

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