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Numbers as functions

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Abstract

In this survey I discuss A. Buium’s theory of “differential equations in the padic direction” ([8]) and its interrelations with “geometry over field with one element”, on the background of various approaches to p-adic models in theoretical physics (cf. [1, 30]).

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  1. Max-Planck-Institut für Mathematik, Bonn, Germany

    Yu. I. Manin

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Correspondence to Yu. I. Manin.

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Based on talks at the International Workshop on p-Adic Methods for Modelling of Complex Systems, Bielefeld, April 15–19, 2013, and at Journées Arithmétiques, Grenoble, June 2–5, 2013.

The text was submitted by the author in English.

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Manin, Y.I. Numbers as functions. P-Adic Num Ultrametr Anal Appl 5, 313–325 (2013). https://doi.org/10.1134/S2070046613040055

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