Diophantine Integrability
可精确求解与可积系统
2009-11-11 v1
摘要
The heights of iterates of the discrete Painleve equations over number fields appear to grow no faster than polynomials while the heights of generic solutions of non-integrable discrete equations grow exponentially. This gives rise to a simple and effective numerical test for the integrability of discrete equations. Numerical evidence and theoretical results are presented. Connections with other tests for integrability and Vojta's dictionary are discussed.
引用
@article{arxiv.nlin/0504027,
title = {Diophantine Integrability},
author = {R. G. Halburd},
journal= {arXiv preprint arXiv:nlin/0504027},
year = {2009}
}
备注
6 pages, 4 figures