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

Published 2 Aug 2017 in math.NT | (1708.00564v1)

Abstract: 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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