Uniformization of simply connected ramified coverings of the sphere by rational functions

DOI10.1134/S1064562417050040zbMath1383.30013OpenAlexW2765325100MaRDI QIDQ679963

Samyon R. Nasyrov

Publication date: 22 January 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417050040

zbMATH Keywords

rational functionsramified coverings of the Riemann sphere

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Riemann surfaces (30F99)

Related Items (1)

Extremal problems in geometric function theory

Cites Work

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• A proof of the Bieberbach conjecture
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Über das Hurwitzsche Problem der Bestimmung der Anzahl Riemannscher Flächen von gegebener Verzweigungsart
• Determination of the polynomial uniformizing a given compact Riemann surface
• Ramified coverings of the two-dimensional sphere and the intersection theory in spaces of meromorphic functions on algebraic curves

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