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.
CITATION STYLE
Manin, Y. I. (2016). Painlevé VI equations in p-adic time. P-Adic Numbers, Ultrametric Analysis, and Applications, 8(3), 217–224. https://doi.org/10.1134/S2070046616030031
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