3 citations · 4 across the 18 of their papers we have counts for
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On p-divisibility of Fourier coefficients of Hermitian modular forms
Shoyu Nagaoka
We describe the -divisibility transposition for the Fourier coefficients of Hermitian modular forms. The results show that the same phenomenon as that for Siegel modular forms h…
On -divisibility of Fourier coefficients of Siegel modular forms
Shoyu Nagaoka
We describe the -divisibility transposition for the Fourier coefficients of Siegel modular forms. This provides a supplement to the result by Wilton for -divisibility satisfi…
A remark on -adic Siegel Eisenstein series
Hidenori Katsurada, Shoyu Nagaoka
A generalization of Serre's -adic Eisenstein series in the case of Siegel modular forms is studied and a coincidence between a -adic Siegel Eisenstein series and a genus thet…
Congruence relations satisfied by quaternionic modular forms
Shoyu Nagaoka
The theory of quaternionic modular forms has been studied for decades as an example of the modular forms of many variables. The purpose of this study is to provide some congruence…
Residue of some Eisenstein series
Shoyu Nagaoka
The real analytic Eisenstein series is a special function that has been studied classically. Its generalization to the case of many variables has been studied extensively. Moreover…
Supplement to a Shimura's theorem on Eisenstein series
Shoyu Nagaoka
Shimura studied the analytic properties of the non-holomorphic Siegel Eisenstein series and derived a residue formula. Herein, we provide a refinement of his result for several typ…