Publicacions Matemàtiques

Determinants of Laplacians on Hilbert modular surfaces

Yasuro Gon

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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 [5, 6].

Article information

Publ. Mat., Volume 62, Number 2 (2018), 615-639.

Received: 27 January 2017
Revised: 18 April 2017
First available in Project Euclid: 16 June 2018

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11M36: Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas 11F72: Spectral theory; Selberg trace formula 58J52: Determinants and determinant bundles, analytic torsion

Hilbert modular surface Selberg zeta function regularized determinant


Gon, Yasuro. Determinants of Laplacians on Hilbert modular surfaces. Publ. Mat. 62 (2018), no. 2, 615--639. doi:10.5565/PUBLMAT6221808.

Export citation