Discrete Painleve II equation over finite fields
Mathematical Physics
2012-08-14 v1 Dynamical Systems
math.MP
Abstract
We investigate the discrete Painleve II equation over finite fields. We treat it over local fields and observe that it has a property that is similar to the good reduction over finite fields. We can use this property, which seems to be an arithmetic analogue of singularity confinement, to avoid the indeterminacy of the equations over finite fields and to obtain special solutions from those defined originally over fields of characteristic zero.
Keywords
Cite
@article{arxiv.1206.4456,
title = {Discrete Painleve II equation over finite fields},
author = {Masataka Kanki and Jun Mada and K. M. Tamizhmani and Tetsuji Tokihiro},
journal= {arXiv preprint arXiv:1206.4456},
year = {2012}
}
Comments
9 pages