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arxiv: 1708.00564 · v1 · pith:7FSGWIS6new · submitted 2017-08-02 · 🧮 math.NT

On the mod p kernel of the theta operator and Eisenstein series

classification 🧮 math.NT
keywords eisensteinformskernelmodularoperatorseriesthetaadditionally
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Siegel modular forms in the space of the mod $p$ kernel of the theta operator are constructed by the Eisenstein series in some odd-degree cases. Additionally, a similar result in the case of Hermitian modular forms is given.

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