Uniformisation of Riemann surfaces and Toda chain

In this article using the Schottky uniformisation of the hyperelliptic Riemann surface new formulae for the characteristic of finite zone Solutions to the equations of Toda chain are obtained. For this characteristic of the solution are expressed through the parameters of uniformisation with the use of Poincare series.

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  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi