Symbolic Integration in Prime Characteristic
Number Theory
2016-11-07 v1 Commutative Algebra
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.
Cite
@article{arxiv.1611.01215,
title = {Symbolic Integration in Prime Characteristic},
author = {Bill Allombert},
journal= {arXiv preprint arXiv:1611.01215},
year = {2016}
}
Comments
10 pages