A table of the dimensions of the Hilbert modular type cusp forms over real quadratic fields
type: Item
instance of: scholarly article
title: A table of the dimensions of the Hilbert modular type cusp forms over real quadratic fields
zbMATH Open document ID: 0659.10030
author: Hirofumi Ishikawa
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: If \(D\) is a square-free positive integer, let \(S_2(D)\) denote the space of cusp forms of Hilbert modular type of weight 2 with respect to \({\mathbb{Q}}(\sqrt{D})\). In an earlier paper [Sci. Pap. C, Gen. Ed. Univ. Tokyo 29, 1--28 (1979; Zbl 0415.10020)] the author used the trace formula in order to calculate the dimension of \(S_2(D)\). In the paper under review the quantities are evaluated and \(\dim S_2(D)\) is given explicitly for \(1<D<1000\).
reviewed by: Aloys Krieg
Mathematics Subject Classification ID: 11F41
zbMATH DE Number: 4077339
zbMATH Keywords: Hilbert modular forms
zbMATH Keywords: table
zbMATH Keywords: Hecke operators
zbMATH Keywords: space of cusp forms
zbMATH Keywords: trace formula
zbMATH Keywords: dimension
MaRDI profile type: Publication
full work available at URL: pjaa.64.84
OpenAlex ID: W1999786472
cites work: L-Series, modular imbeddings, and signatures
cites work: Hilbert modular surfaces
cites work: Q3050498
cites work: Die elliptischen Fixpunkte der Hilbertschen Modulgruppen
cites work: On discontinuous groups operating on the product of the upper half planes
DOI: 10.3792/PJAA.64.84
description: scientific article; zbMATH DE number 4077339