Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlev\'e Equation

A. V. Kitaev

arxiv: math/0503082 · v1 · submitted 2005-03-05 · 🧮 math.CA

Remarks Towards the Classification of RS₄²(3)-Transformations and Algebraic Solutions of the Sixth Painlev\'e Equation

A. V. Kitaev This is my paper

classification 🧮 math.CA

keywords algebraicclassificationequationpainlevsixthsolutionstransformationsconstruction

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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.

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Remarks Towards the Classification of RS₄²(3)-Transformations and Algebraic Solutions of the Sixth Painlev\'e Equation

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