Differential exponential topological fields

Autor: Point, Francoise, Regnault, Nathalie
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: We axiomatize a class of existentially closed exponential fields equipped with an $E$-derivation. We apply our results to the field of real numbers endowed with $exp(x)$ the classical exponential function defined by its power series expansion and to the field of p-adic numbers endowed with the function $exp(px)$ defined on the $p$-adic integers where $p$ is a prime number strictly bigger than $2$ (or with $exp(4x)$ when $p=2$).
Databáze: arXiv