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math.CO2005
Enumeration of almost polynomial rational functions with given critical values
Dmitri Panov, Dimitri Zvonkine
Enumerating ramified coverings of the sphere with fixed ramification types is a well-known problem first considered by A. Hurwitz. Up to now, explicit solutions have been obtained…
math.CO2002★ 2 cited
Counting Meromorphic Functions with Critical Points of Large Multiplicities
Dmitri Panov, Dimitri Zvonkine
We study the number of meromorphic functions on a Riemann surface with given critical values and prescribed multiplicities of critical points and values. When the Riemann surface i…