A note on the characterizations of Jacobi cusp forms and cusp forms of Maass Spezialschar

DOI10.1007/S11139-014-9556-9zbMath1381.11043OpenAlexW2066445563MaRDI QIDQ496332

Winfried Kohnen, Jongryul Lim

Publication date: 21 September 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9556-9

zbMATH Keywords

Jacobi formsFourier coefficients of automorphic formsMaass Spezialschar

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items (3)

A characterization of Jacobi cusp forms of certain types ⋮ Hecke bound of vector-valued modular forms and its relationship with cuspidality ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound

Cites Work

• The theory of Jacobi forms
• Jacobiformen und Thetareihen. (Jacobi forms and theta series)
• Lineare Relationen für die Fourierkoeffizienten einiger Modulformen zweiten Grades. (Linear relations for the Fourier coefficients of several modular forms)
• Über eine Spezialschar von Modulformen zweiten Grades. (On a Spezialschar of modular forms of second degree.)
• Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
• Fourier coefficients of cusp forms of half-integral weight
• On certain generalized modular forms

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