Determinants of Laplacians on Hilbert modular surfaces

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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].

Original languageEnglish
Pages (from-to)615-639
Number of pages25
JournalPublicacions Matematiques
Volume62
Issue number2
DOIs
Publication statusPublished - 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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