5 citations · 16 across the 10 of their papers we have counts for
10 papers
Functional equations and gamma factors of local zeta functions for the metaplectic cover of SL_2
Kazuki Oshita, Masao Tsuzuki
We introduce a local zeta-function for an irreducible admissible supercuspidal representation of the metaplectic double cover of $\SL_2$ over a non-archimedean local field of c…
Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values
Masao Tsuzuki
We introduce a new trace formula of Kuznetsov type involving the central standard L-values and the Whittaker periods of cuspidal automorphic representations of PGL_n(Q) which are s…
Weighted equidistribution theorem for Siegel modular forms of degree 2
Masao Tsuzuki
We deduce a weighted equidistribution theorem of the Satake parameters of Siegel cusp forms on Sp_2({\mathbb Z})with growing even weights.
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…
Spectral average of central values of automorphic L-functions for holomorphic cusp forms on SO_0(m,2) II
Masao Tsuzuki
Given a maximal even-integral lattice $\cL$ of signature with an odd , we consider the holomorphic cusp forms of weight on the bounded symmetric domain…
Optimal estimates for an average of Hurwitz class numbers
Shingo Sugiyama, Masao Tsuzuki
In this paper, we give an optimal estimate of an average of Hurwitz class numbers. As an application, we give an equidistribution result of the family $\{\frac{t}{2q^{ν/2}} \ | \ ν…
Quantitative non-vanishing of central values of certain -functions on
Shingo Sugiyama, Masao Tsuzuki
Let be an even Hecke-Maass cusp form on whose -function does not vanish at the center of the functional equation. In this article, we obtain an exac…
An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms
Shingo Sugiyama, Masao Tsuzuki
We give an exact formula of the average of adjoint -functions of holomorphic Hilbert cusp forms with a fixed weight and a square-free level, which is a generalization of Zagier'…
Existence of Hilbert cusp forms with non-vanishing -values
Shingo Sugiyama, Masao Tsuzuki
We give a derivative version of the relative trace formula on PGL(2) studied in our previous work, and obtain a formula of an average of central values (derivatives) of automorphic…
Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms
Shingo Sugiyama, Masao Tsuzuki
We elaborate an explicit version of the relative trace formula on $\PGL(2)$ over a totally real number field for the toral periods of Hilbert cusp forms along the diagonal split to…