On Eisenstein series on quaternion unitary groups of degree 2
type: Item
instance of: scholarly article
title: On Eisenstein series on quaternion unitary groups of degree 2
zbMATH Open document ID: 0966.11023
author: Yoshikazu Hirai
published in: Journal of the Mathematical Society of Japan
publication date: 2001-03-21T00:00:00Z
review text: The author considers Eisenstein series on certain quaternion unitary groups. Using Shimura's method the Fourier expansion can be calculated explicitly. This leads to a direct result on the analytic continuation and functional equation without the use of Langlands' theory. Moreover special values and the explicit formulas yield holomorphic Eisenstein series and Oda's lifted cusp forms. Several tables with numerical examples are included.
Mathematics Subject Classification ID: 11F55
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 1336910
zbMATH Keywords: automorphic forms
zbMATH Keywords: Eisenstein series
zbMATH Keywords: quaternion unitary groups
zbMATH Keywords: Fourier expansion
zbMATH Keywords: analytic continuation
zbMATH Keywords: functional equation
zbMATH Keywords: special values
reviewed by: Aloys Krieg
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05110093
OpenAlex ID: W2150547917
DOI: 10.2969/JMSJ/05110093
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description: scientific article; zbMATH DE number 1336910