Determinants of Laplacians on Hilbert modular surfaces

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].

18 pages. arXiv admin note: text overlap with arXiv:1208.6086