3 papers
math-ph2005
Hierarchy of the Selberg zeta functions
Yasufumi Hashimoto, Masato Wakayama
We introduce a Selberg type zeta function of two variables which interpolates several higher Selberg zeta functions. The analytic continuation, the functional equation and the dete…
math.NT2005
Splitting density for lifting about discrete groups
Yasufumi Hashimoto, Masato Wakayama
We study splitting densities of primitive elements of a discrete subgroup of a connected non-compact semisimple Lie group of real rank one with finite center in another larger such…
math.RT2004
Arithmetic expressions of Selberg's zeta functions for congruence subgroups
Yasufumi Hashimoto
In Sarnak's paper, it was proved that the Selberg zeta function for SL(2,Z) is expressed in terms of the fundamental units and the class numbers of the primitive indefinite binary…