Painlevé VI equations in p-adic time
- Autores: Manin Y.I.1
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Afiliações:
- Max-Planck-Institut für Mathematik
- Edição: Volume 8, Nº 3 (2016)
- Páginas: 217-224
- Seção: 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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Resumo
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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Sobre autores
Yu. Manin
Max-Planck-Institut für Mathematik
Autor responsável pela correspondência
Email: manin@mpim-bonn.mpg.de
Alemanha, Bonn
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