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The Ramanujan Journal

, Volume 37, Issue 3, pp 535–539 | Cite as

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

  • Winfried Kohnen
  • Jongryul Lim
Article

Abstract

In this paper, we give characterizations of Jacobi cusp forms of weight \(k\) and index \(1\) on a congruence subgroup \(\Gamma _0(N)\) and cusp forms of weight \(k\) on the full Siegel modular group \(\hbox {Sp}_{4}(\mathbb Z)\) in Maass Spezialschar for \(k\ge 2\) even and \(N\ge 1\) odd and squarefree.

Keywords

Jacobi forms Maass Spezialschar Fourier coefficients of automorphic forms 

Mathematics Subject Classification

11F30 11F46 11F50 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Mathematisches Institut Der Universität HeidelbergHeidelbergGermany
  2. 2.Department of MathematicsPohang University of Science and TechnologyPohangKorea

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