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Theta operator on Hermitian modular forms over the Eisenstein field

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Abstract

The mod p kernel of the theta operator on Hermitian modular forms is studied in the case that the base field is the Eisenstein field.

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Authors and Affiliations

  1. Kindai University, Higashi-Osaka, Osaka, Japan

    Shoyu Nagaoka

  2. Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany

    Sho Takemori

Authors
  1. Shoyu Nagaoka
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  2. Sho Takemori
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Correspondence to Shoyu Nagaoka.

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This study was supported by Japan Society for the Promotion of Science (Grant No. 25400031).

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Nagaoka, S., Takemori, S. Theta operator on Hermitian modular forms over the Eisenstein field. Ramanujan J 52, 105–121 (2020). https://doi.org/10.1007/s11139-018-0111-y

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  • DOI: https://doi.org/10.1007/s11139-018-0111-y

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