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Buium, A. and Manin, Y.I. (2013) Arithmetic Differential Equations of Panleve VI Type. arXiv:1307.3841 [math.NT]

has been cited by the following article:

• TITLE: A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint

  AUTHORS: Lucian M. Ionescu

  KEYWORDS: p-Adic Numbers, Frobenius Lift, Periods, Feynman Integrals, Deformation Theory

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.4, April 19, 2018

  ABSTRACT: A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler gamma and beta functions and their p-adic analogues, from a cohomological point of view. Connections between various methods for computing scattering amplitudes are related to the moduli space problem and period domains.