Differential calculus with integers
Number Theory
2013-08-26 v1
Abstract
Ordinary differential equations have an arithmetic analogue in which functions are replaced by numbers and the derivation operator is replaced by a Fermat quotient operator. In this survey we explain the main motivations, constructions, results, applications, and open problems of the theory.
Cite
@article{arxiv.1308.5194,
title = {Differential calculus with integers},
author = {Alexandru Buium},
journal= {arXiv preprint arXiv:1308.5194},
year = {2013}
}
Comments
Survey paper, 33 pages