Email this article Painlevé VI equations in p-adic time
- Authors: Manin Y.I.1
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Affiliations:
- Max-Planck-Institut für Mathematik
- Issue: Vol 8, No 3 (2016)
- Pages: 217-224
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200638
- DOI: https://doi.org/10.1134/S2070046616030031
- ID: 200638
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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.
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About the authors
Yu. I. Manin
Max-Planck-Institut für Mathematik
Author for correspondence.
Email: manin@mpim-bonn.mpg.de
Germany, Bonn
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