7 papers · 1 filter
Two dimensional adelic analysis and cuspidal automorphic representations of GL(2)
Masatoshi Suzuki
Two dimensional adelic objects were introduced by I. Fesenko in his study of the Hasse zeta function associated to a regular model of the elliptic curve . The Hasse…
Zeta functions for and their zeros
Masatoshi Suzuki, Lin Weng
The exceptional group has two maximal parabolic subgroups , corresponding to the so-called long root and short root. In this paper, the second author in…
Mean-periodicity and zeta functions
Masatoshi Suzuki, Guillaume Ricotta, Ivan Fesenko
This paper establishes new bridges between number theory and modern harmonic analysis, namely between the class of complex functions, which contains zeta functions of arithmetic sc…
The Riemann hypothesis for Weng's zeta function of over
Masatoshi Suzuki
As a generalization of the Dedekind zeta function, Weng defined the high rank zeta functions and proved that they have standard properties of zeta functions, namely, meromorphic co…
Non-positivity of certain functions associated with analysis on elliptic surfaces
Masatoshi Suzuki
In this paper, we study some basic analytic properties of the boundary term of Fesenko's two-dimensional zeta integrals. In the case of the rational number field, we show that this…
A relation between the zeros of different two -functions which have the Euler product and functional equation
Masatoshi Suzuki
As automorphic -functions or Artin -functions, several classes of -functions have Euler products and functional equations. In this paper we study the zeros of -function…