Kleinian群相关的自守散射矩阵与Selberg zeta函数的Artin分解公式类比
数论
2007-09-10 v2 谱理论
摘要
对于作用于双曲三维空间上的Kleinian群，我们证明了Selberg zeta函数与自守散射矩阵的分解公式。我们将Venkov与Zograf关于Fuchsian群的结果推广至Kleinian群，并给出一个简洁且可推广至更一般群的证明。
引用
@article{arxiv.math/0702030,
title = {Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group},
author = {Joshua S. Friedman},
journal= {arXiv preprint arXiv:math/0702030},
year = {2007}
}
备注
To Appear in the Proceedings of the American Math Society; Second edition: corrected some mistakes