Extended automorphic forms on the upper half plane
type: Item
instance of: scholarly article
title: Extended automorphic forms on the upper half plane
zbMATH Open document ID: 0786.11025
DOI: 10.1007/BF01445135
published in: Mathematische Annalen
publication date: 1994-05-09T00:00:00Z
full work available at URL: https://eudml.org/doc/165115
review text: A variant of Hadamard's notion of partie finie is applied to the theory of automorphic functions on arithmetic quotients of the upper half-plane. As a consequence, conceptually simple proofs of the volume formula and the Maass-Selberg relations are given. This technique interprets \textit{D. Zagier's} idea of renormalization [J. Fac. Sci. Univ. Tokyo, Ser. I A 28, 415-437 (1982; Zbl 0505.10011)] so that it can be generalized easily to higher rank quotients (which is not done in this paper, however).
Mathematics Subject Classification ID: 11F55
Mathematics Subject Classification ID: 11F72
zbMATH DE Number: 537283
zbMATH Keywords: automorphic forms
zbMATH Keywords: arithmetic quotients of the upper half-plane
zbMATH Keywords: volume formula
zbMATH Keywords: Maass-Selberg relations
author: Bill Casselman
MaRDI profile type: Publication
cites work: Q3964660
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description: scientific article; zbMATH DE number 537283