arXiv Open Access 2015

Ruelle and Selberg zeta functions for non-unitary twists

Polyxeni Spilioti

Lihat Sumber

Abstrak

In this paper, we study the Selberg and Ruelle zeta functions on compact hyperbolic odd dimensional manifolds. These zeta functions are defined on one complex variable $s$ in some right half-plane of $\mathbb{C}$. We use the Selberg trace formula for arbitrary not neccesarily unitary representations of the fundamental group to establish the meromorphic continuation of these zeta functions to the whole complex plane.

Topik & Kata Kunci

math.SP

Penulis (1)

Polyxeni Spilioti

Format Sitasi

APA MLA BibTeX

Spilioti, P. (2015). Ruelle and Selberg zeta functions for non-unitary twists. https://arxiv.org/abs/1506.04672

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓