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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.NT2017
On the kernel of the theta operator mod p
Siegfried Boecherer, Hirotaka Kodama, Shoyu Nagaoka
We construct many examples of level one Siegel modular forms in the kernel of theta operators mod by using theta series attached to positive definite quadratic forms.