Let A(n_1,…,n_{m‐1})be the Fourier coefficients of a full‐level cusp form for GLm(Z).We will talk about asymptotic expansions of Voronois summation formu
The spectral theory of non‐holomorphic automorphic forms for the Poincare upper half plane began with Maass and Selberg.Maass forms were first studied by M
Let (($))m(($)) be a positive integer satisfying (($))mequiv 1{pmod 4}(($)) and (($))(frac{m}{7})=1(($)).Then there exist integers (($))x,y,zinmathbb{Z}(($)
There are plenty of researches on averages or moments of the Fourier coefficients of a modular form.In this talk,we review some of these studies and discuss
In these lectures we will discuss how the equality of arithmetique(Artin)root numbers and L–functions with their analytic counterparts defined from any ana
We describe joint work with K.Choiy which determines the structure of the parabolically induced from discrete series representations of inner forms of class
Let F be a totally real number field and K/F a CM quadratic extension.Let f be a cuspidal Hilbert modular new form over F.Let lam be a Hecke character over