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On the kernel of the theta operator mod p

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Abstract

We construct many examples of level one Siegel modular forms in the kernel of theta operators mod p by using theta series attached to positive definite quadratic forms.

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Authors and Affiliations

  1. Kunzenhof 4B, 79117, Freiburg, Germany

    Siegfried Böcherer

  2. Academic Support Center, Kogakuin University, Hachioji, Tokyo, 192-0015, Japan

    Hirotaka Kodama

  3. Department Mathematics, Kindai University, Higashi-Osaka, Osaka, 577-8502, Japan

    Shoyu Nagaoka

Authors
  1. Siegfried Böcherer
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  2. Hirotaka Kodama
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  3. Shoyu Nagaoka
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Correspondence to Shoyu Nagaoka.

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Böcherer, S., Kodama, H. & Nagaoka, S. On the kernel of the theta operator mod p . manuscripta math. 156, 149–169 (2018). https://doi.org/10.1007/s00229-017-0962-3

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