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Painlevé VI equations in p-adic time

  • Yu. I. ManinEmail author
Research Articles

Abstract

Using the description of Painlevé VI family of differential equations in terms of a universal elliptic curve, going back to R. Fuchs, we translate it into the realm of Buium’s p-adic Arithmetic Differential Equations, where the role of derivative is played by a version of Fermat quotient.

Keywords

Painlevé VI p-adic derivations Hamiltonian 

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Max-Planck-Institut für MathematikBonnGermany

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