8 papers
The Shintani double zeta functions
Henry H. Kim, Masao Tsuzuki, Satoshi Wakatsuki
In this paper, we give an explicit formula of the Shintani double zeta functions with any ramification in the most general setting of adeles over an arbitrary number field. Three a…
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…
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…
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…
Ikeda type construction of cusp forms
Henry H. Kim, Takuya Yamauchi
This is a survey of results on the construction of holomorphic cusp forms on tube domains originally initiated by Ikeda. Besides a survey it includes conjectures and possible appli…
Central limit theorem for Artin -functions
Peter J. Cho, Henry H. Kim
We show that the sum of the traces of Frobenius elements of Artin -functions in a family of -fields satisfies the Gaussian distribution under certain counting conjectures. We…