“…Böcherer, Kodama and the first author argue the first method in [3]. In several cases, it gives F ∈ M k (Sp n (Z)) Z (p) with Θ(F ) ≡ 0 mod p and ω(F ) = k. As for the second method, the operator A(p) is defined by…”
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.
“…Böcherer, Kodama and the first author argue the first method in [3]. In several cases, it gives F ∈ M k (Sp n (Z)) Z (p) with Θ(F ) ≡ 0 mod p and ω(F ) = k. As for the second method, the operator A(p) is defined by…”
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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