2 citations · 2 across the 3 of their papers we have counts for
8 papers
Congruences of Siegel Eisenstein series of degree two
Takuya Yamauchi
In this paper we study congruences between Siegel Eisenstein series and Siegel cusp forms for Sp_4(Z).
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…
An equidistribution theorem for holomorphic Siegel modular forms for
Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi
We prove an equidistribution theorem for a family of holomorphic Siegel cusp forms for in various aspects. A main tool is Arthur's invariant trace formula. While…