Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring
Number Theory
2015-05-06 v1
Abstract
We provide a necessary and sufficient condition for the solvability of a rank one differential (resp. -difference) equation over the Amice's ring. We also extend to that ring a Birkoff decomposition result, originally due to Motzkin.
Keywords
Cite
@article{arxiv.1505.00926,
title = {Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring},
author = {Andrea Pulita},
journal= {arXiv preprint arXiv:1505.00926},
year = {2015}
}
Comments
25 pages