English

Order of zeta functions for compact odd-dimensional locally symmetric spaces

Number Theory 2014-12-23 v1

Abstract

We prove that the meromorphic continuations of the Ruelle and Selberg zeta functions considered by Bunke and Olbrich are of finite order not larger than the dimension of the underlaying compact, odd-dimensional, locally symmetric space.

Keywords

Cite

@article{arxiv.1412.6969,
  title  = {Order of zeta functions for compact odd-dimensional locally symmetric spaces},
  author = {Muharem Avdispahic and Dzenan Gusic},
  journal= {arXiv preprint arXiv:1412.6969},
  year   = {2014}
}