On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields
type: Item
instance of: scholarly article
title: On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields
zbMATH Open document ID: 1122.11029
author: Hisashi Kojima
published in: Journal of Number Theory
publication date: 2004-08-06T00:00:00Z
Mathematics Subject Classification ID: 11F37
Mathematics Subject Classification ID: 11F41
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F67
zbMATH DE Number: 2083528
zbMATH Keywords: square of Fourier coefficients
zbMATH Keywords: modular forms of half-integral weight
zbMATH Keywords: Hilbert-Maass wave forms
zbMATH Keywords: central value of quadratic twisted \(L\)-series
MaRDI profile type: Publication
full work available at URL: j.jnt.2004.03.006
OpenAlex ID: W2080418720
cites work: On a theorem of Waldspurger and on Eisenstein series of Klingen type
cites work: Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives
cites work: Q5827353
cites work: Q3347960
cites work: Heegner points, cycles and Maass forms
cites work: Fourier coefficients and modular forms of half-integral weight
cites work: A remark on the Shimura correspondence
cites work: Values of L-series of modular forms at the center of the critical strip
cites work: Remark on Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces
cites work: On Fourier coefficients of Maass wave forms of half integral weight belonging to Kohnen's spaces
cites work: On the Fourier coefficients of Maass wave forms of half integral weight over an imaginary quadratic field
cites work: On the Fourier coefficients of Hilbert modular forms of half integral weight over algebraic number fields
cites work: On the Fourier coefficients of nonholomorphic Hilbert modular forms of half-integral weight
cites work: On modular forms of half integral weight
cites work: Q3964658
cites work: On Hilbert modular forms of half-integral weight
cites work: On the critical values of certain Dirichlet series and the periods of automorphic forms
cites work: On the Fourier coefficients of Hilbert modular forms of half-integral weight
cites work: On the Transformation Formulas of Theta Series
cites work: Sur les coefficients de Fourier des formes modulaires de poids demi-entier
cites work: Sur certains groupes d'opérateurs unitaires
cites work: Certain Dirichlet series attached to automorphic forms over imaginary quadratic fields
DOI: 10.1016/J.JNT.2004.03.006
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description: scientific article; zbMATH DE number 2083528