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

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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.

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Correspondence to Jongryul Lim.

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The second author is partially supported by NRF Grant 2013053914 and NRF Grant 2013021896.

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Kohnen, W., Lim, J. A note on the characterizations of Jacobi cusp forms and cusp forms of Maass Spezialschar. Ramanujan J 37, 535–539 (2015). https://doi.org/10.1007/s11139-014-9556-9

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  • DOI: https://doi.org/10.1007/s11139-014-9556-9

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