Determinants of Laplacians on Hilbert modular surfaces

Yasuro Gon

doi:10.5565/PUBLMAT6221808

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Home > Journals > Publ. Mat. > Volume 62 > Issue 2 > Article

2018 Determinants of Laplacians on Hilbert modular surfaces

Yasuro Gon

Publ. Mat. 62(2): 615-639 (2018). DOI: 10.5565/PUBLMAT6221808

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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 [5, 6].