Determinants of Laplacians on Hilbert modular surfaces
Number Theory
2017-01-24 v1
Abstract
We study regularized determinants of Laplacians acting on the space of Hilbert-Maass forms for the Hilbert modular group of a real quadratic field. We show that these determinants are described by Selberg type zeta functions introduced in [4,5].
Keywords
Cite
@article{arxiv.1701.06380,
title = {Determinants of Laplacians on Hilbert modular surfaces},
author = {Yasuro Gon},
journal= {arXiv preprint arXiv:1701.06380},
year = {2017}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:1208.6086