12 citations · 55 across the 36 of their papers we have counts for
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Non-vanishing of Miyawaki type lift
Henry H. Kim, Takuya Yamauchi
Miyawaki type lifts are kinds of Langlands functorial lifts and a special case was first conjectured by Miyawaki and proved by Ikeda for Siegel cusp forms. Since then, such a lift…
A reformulation of the Siegel series and intersection numbers
Sungmun Cho, Takuya Yamauchi
In this paper, we will explain a conceptual reformulation and inductive formula of the Siegel series. Using this, we will explain that both sides of the local intersection multipli…
Equidistribution theorems for holomorphic Siegel modular forms for ; Hecke fields and -level density
Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi
This paper is a continuation of the author's previous wotk. We supplement four results on a family of holomorphic Siegel cusp forms for . First, we improve the re…
Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences
Sungmun Cho, Shunsuke Yamana, Takuya Yamauchi
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourier coefficients of derivatives of the Siegel Eisenstein series of weight g/2 and…