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math.CA2012
The sixth Painleve transcendent and uniformizable orbifolds
Yu. V. Brezhnev
We consider connection between the Painleve-6 equation and explicitly uniformizable orbifolds
math.CA2012
On uniformizable representation for Abelian integrals
Yu. V. Brezhnev
We show how the unformizable representation for Abelian integrals of nontrivial genera arise. The technique makes use of the famous Chudnovsky's Fuchsian linear differential equati…
nlin.SI2012
Transcendental Trace Formulas For Finite-Gap Potentials
Yu. V. Brezhnev
We show that formulas differing from classical analogues of rational trace formulas for algebraic-geometric potentials occur in the theory of finite-gap integration of spectral equ…