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A note on the Sturm bound for Siegel modular forms of type (k, 2)

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Abstract

We study analogues of Sturm’s bounds for vector valued Siegel modular forms of type (k, 2), which was already studied by Sturm in the case of an elliptic modular form and by Choi–Choie–Kikuta, Poor–Yuen and Raum–Richter in the case of scalar valued Siegel modular forms.

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Acknowledgements

The author would like to thank Professor Shoyu Nagaoka and Professor Toshiyuki Kikuta for giving him helpful comments. The author is also grateful to the referees for useful comments.

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  1. Learning Support Centre, Gakushuin University, Mejiro, Toshima-ku, Tokyo, 171-8588, Japan

    Hirotaka Kodama

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  1. Hirotaka Kodama
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Correspondence to Hirotaka Kodama.

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Communicated by Vicente Cortés.

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Kodama, H. A note on the Sturm bound for Siegel modular forms of type (k, 2). Abh. Math. Semin. Univ. Hambg. 90, 135–150 (2020). https://doi.org/10.1007/s12188-020-00223-x

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  • DOI: https://doi.org/10.1007/s12188-020-00223-x

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