

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.

