3 citations · 16 across the 15 of their papers we have counts for
15 papers
Congruences for Siegel modular forms of nonquadratic nebentypus mod
Siegfried Boecherer, Toshiyuki Kikuta
We prove that weights of two Siegel modular forms of nonquadratic nebentypus should satisfy some congruence relations if these modular forms are congruent to each other. Applying t…
On -adic Siegel Eisenstein series from a point of view of the theory of mod singular forms
Siegfried Boecherer, Toshiyuki Kikuta
We show that the -adic Siegel Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level , by ap…
A ring of symmetric Hermitian modular forms of degree with integral Fourier coefficients
Toshiyuki Kikuta
We determine the structure over of the ring of symmetric Hermitian modular forms with respect to of degree (with a character), whose Fourie…
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…
Note on mod p property of Hermitian modular forms
Toshiyuki Kikuta, Shoyu Nagaoka
The mod kernel of the theta operator is the set of modular forms whose image of the theta operator is congruent to zero modulo a prime . In the case of Siegel modular forms,…
Sturm bounds for Siegel modular forms of degree 2 and odd weights
Toshiyuki Kikuta, Sho Takemori
We correct the proof of the theorem in the previous paper presented by the first named author, which concerns Sturm bounds for Siegel modular forms of degree and of even weight…