5 papers
Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients
Pablo Ramacher, Satoshi Wakatsuki
In this paper, we describe the asymptotic distribution of Hecke eigenvalues in the Laplace eigenvalue aspect for certain families of Hecke-Maass forms on compact arithmetic quotien…
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…
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…
The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group
Tobias Finis, Werner Hoffmann, Satoshi Wakatsuki
In this paper, a zeta integral for the space of binary cubic forms is associated with the subregular unipotent contribution to the geometric side of the Arthur trace formula for th…
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…