TY - JOUR
T1 - Determinants of Laplacians on Hilbert modular surfaces
AU - Gon, Yasuro
N1 - Funding Information:
This work was partially supported by JSPS Grant-in-Aid for Scientific Research (C) no. 26400017 and no. 17K05178.
Publisher Copyright:
© 2018 Universitat Autonoma de Barcelona. All rights reserved.
PY - 2018
Y1 - 2018
N2 - 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].
AB - 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].
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U2 - 10.5565/PUBLMAT6221808
DO - 10.5565/PUBLMAT6221808
M3 - Article
AN - SCOPUS:85049042295
SN - 0214-1493
VL - 62
SP - 615
EP - 639
JO - Publicacions Matematiques
JF - Publicacions Matematiques
IS - 2
ER -