Differential calculus with integers

2013/08/23 by Buium, Alexandru
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1308.5194

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.

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