都築 正男

For a given stale quadratic algebra E over a p-adic field F, we establish a transfer of unramified test functions on the symmetric space GL(2, F)\GL(2, E) to those on a unitary hyperbolic space so that the orbital integrals match. This is an impor...

We develop a derivative version of the relative trace formula on PGL(2) studied in our previous work, and derive an asymptotic formula of an average of central values (derivatives) of automorphic L-functions for Hilbert cusp forms. As an applicati...

Given a maximal even integral lattice L of signature (m+, 2-) (m >= 3), we consider an orthonormal Hecke eigen basis B-1 of the holomorphic cusp forms of weight I on a tube domain with respect to the discriminant subgroup of the orthogonal grou...