Numbers as functions
Number Theory
2013-12-19 v1
Abstract
In this survey I discuss A. Buium's theory of ``differential equations in the p-adic direction'' ([Bu05]) and its interrelations with ``geometry over fields with one element'', on the background of various approaches to p-adic models in theoretical physics.
Keywords
Cite
@article{arxiv.1312.5160,
title = {Numbers as functions},
author = {Yuri I. Manin},
journal= {arXiv preprint arXiv:1312.5160},
year = {2013}
}
Comments
Based on talks at the International Workshop on p-adic methods for modelling of complex systems, Bielefeld, April 15-19, 2013, and at Journ\'ees Arithm\'etiques, Grenoble, June 2-5, 2013