A characterization of Jacobi cusp forms of certain types

DOI10.1016/j.jnt.2014.02.018zbMath1296.11044OpenAlexW2039613257MaRDI QIDQ402648

Jongryul Lim

Publication date: 28 August 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.02.018

zbMATH Keywords

Jacobi formsFourier coefficientsJacobi Eisenstein series

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items

Cuspidality and the growth of Fourier coefficients: small weights ⋮ 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

• A note on the characterizations of Jacobi cusp forms and cusp forms of Maass Spezialschar
• The theory of Jacobi forms
• An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels
• Jacobiformen und Thetareihen. (Jacobi forms and theta series)
• On certain generalized modular forms
• ON THE FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF-INTEGRAL WEIGHT