arXiv:math/0503082 Abstract

arXiv:math/0503082 [math.CA]Abstract References Reviews Resources

Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlevé Equation

Published 2005-03-05Version 1

We introduce a notion of the divisor type for rational functions and show that it can be effectively used for the classification of the deformations of dessins d'enfants related with the construction of the algebraic solutions of the sixth Painlev\'e equation via the method of $RS$-transformations.

Comments: 22 pages, submitted for Proceedings of Angers Conference "Asymptotic Theories and Painleve' Equations" (June 01-05, 2004)

Categories: math.CA

Subjects: 34M55, 33E17, 33E30

Keywords: algebraic solutions, transformations, classification, sixth painleve equation, rational functions

Tags: conference paper

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