English

Order of zeta functions for compact even-dimensional symmetric spaces

Number Theory 2016-05-02 v1

Abstract

Some zeta functions which are naturally attached to the locally homogeneous vector bundles over compact locally symmetric spaces of rank one are investigated. We prove that such functions can be expressed in terms of entire functions whose order is not larger than the dimension of the corresponding compact, even-dimensional, locally symmetric space.

Keywords

Cite

@article{arxiv.1604.08918,
  title  = {Order of zeta functions for compact even-dimensional symmetric spaces},
  author = {M. Avdispahić and Dž. Gušić and D. Kamber},
  journal= {arXiv preprint arXiv:1604.08918},
  year   = {2016}
}