48 citations · 48 across the 4 of their papers we have counts for
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Theta operator for Hermitian modular forms over the Eisenstein field
Shoyu Nagaoka, Sho Takemori
In this paper, we have investigated the mod p kernel of the theta operator for Hermitian modular forms when the base field is the Eisenstein field.
On the mod kernel of the theta operator and Eisenstein series
Shoyu Nagaoka, Sho Takemori
Siegel modular forms in the space of the mod kernel of the theta operator are constructed by the Eisenstein series in some odd-degree cases. Additionally, a similar result in t…
Weights of the mod kernel of the theta operators
Siegfried Boecherer, Toshiyuki Kikuta, Sho Takemori
We give some relations between the weights and the prime of elements of the mod kernel of the generalized theta operator . In order to construct examples of the mo…
Notes on theta series for Niemeier lattices
Shoyu Nagaoka, Sho Takemori
Some explicit expressions are given for the theta series of Niemeier lattices. As an application, we present some of their congruence relations.