Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound
type: Item
instance of: scholarly article
title: Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound
zbMATH Open document ID: 1486.11064
author: Roland Matthes
author: Yoshinori Mizuno
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-01-21T00:00:00Z
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F50
Mathematics Subject Classification ID: 11F66
zbMATH DE Number: 7461180
zbMATH Keywords: Koecher-Maass series
zbMATH Keywords: Hermitian cusp forms
zbMATH Keywords: Fourier coefficients
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125904
OpenAlex ID: W4200122318
cites work: Q3754056
cites work: Dirichlet series corresponding to Siegel's modular forms of degree n with level N
cites work: Converse theorem for not necessarily cuspidal Siegel modular forms of degree 2 and Saito-Kurokawa lifting
cites work: The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley
cites work: Characterization of Siegel cusp forms by the growth of their Fourier coefficients
cites work: Cuspidality and the growth of Fourier coefficients of modular forms
cites work: ON THE FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS
cites work: Hermitian modular functions
cites work: Hermitian modular functions. III. The hermitian modular group
cites work: Zeta-functions of binary Hermitian forms and special values of Eisenstein series
cites work: Q4368847
cites work: Q5831457
cites work: Q3518705
cites work: Reduction de formes quadratiques dans un corps algébrique fini
cites work: KERNEL FUNCTIONS OF THE TWISTED SYMMETRIC SQUARE OF ELLIPTIC MODULAR FORMS
cites work: A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
cites work: A converse theorem for Jacobi cusp forms of degree two
cites work: A note on the characterizations of Jacobi cusp forms and cusp forms of Maass Spezialschar
cites work: On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms
cites work: Modular forms on half-spaces of quaternions
cites work: The Maaß space on the Hermitian half-space of degree 2
cites work: A characterization of Jacobi cusp forms of certain types
cites work: CHARACTERIZING ADELIC HILBERT MODULAR CUSP FORMS BY COEFFICIENT SIZE
cites work: Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
cites work: Q5518575
cites work: A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel
cites work: On degree 2 Siegel cusp forms and its Fourier coefficients
cites work: Spectral theory on 3-dimensional hyperbolic space and Hermitian modular forms
cites work: Modular Forms
cites work: An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels
cites work: On Fourier coefficients of Eisenstein series and Niebur Poincaré series of integral weight
cites work: ON CHARACTERIZATION OF SIEGEL CUSP FORMS OF DEGREE 2 BY THE HECKE BOUND
cites work: Q3579593
cites work: On the Phragmén-Lindelöf theorem and some applications
cites work: On Fourier coefficients of Maass cusp forms in 3-dimensional hyperbolic space
cites work: Q3235963
cites work: Q4055785
cites work: Elementary Dirichlet Series and Modular Forms
cites work: The Selberg trace formula for the Picard group SL(2, Z[i])
cites work: Q4740623
DOI: 10.1016/J.JMAA.2021.125904
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7461180