Year: 2016
Type: preprint
Abstract: In this paper we study elementary extensions of differential fields in prime characteristic. In particular, we show that, in contrast to Liouville's result in characteristic zero, all elements of an elementary extension admit an antiderivative in some logarithmic extension.
Source: arXiv (Cornell University)
Author: Allombert, Bill
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2555564435