3 papers
math.NT2017
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…
math.NT2016
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…
math.NT2015
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.