Adelic Integrable Systems
高能物理 - 理论
2009-10-28 v1
摘要
Incorporating the zonal spherical function (zsf) problems on real and -adic hyperbolic planes into a Zakharov-Shabat integrable system setting, we find a wide class of integrable evolutions which respect the number-theoretic properties of the zsf problem. This means that at {\it all} times these real and -adic systems can be unified into an adelic system with an -matrix which involves (Dirichlet, Langlands, Shimura...) L-functions.
引用
@article{arxiv.hep-th/9507031,
title = {Adelic Integrable Systems},
author = {Mircea Pigli},
journal= {arXiv preprint arXiv:hep-th/9507031},
year = {2009}
}
备注
23 pages, uses plain TEX