43 citations · 201 across the 25 of their papers we have counts for
5 papers · 1 filter
Functional equations for Weng's zeta functions for
Yasushi Komori
It is shown that Weng's zeta functions associated with arbitrary semisimple algebraic groups defined over the rational number field and their maximal parabolic subgroups satisfy th…
On the zeros of Weng zeta functions for Chevalley groups
Haseo Ki, Yasushi Komori, Masatoshi Suzuki
We prove that all but finitely many zeros of Weng's zeta function for a Chevalley group defined over $\Q$ are simple and on the critical line under some reasonable geometric hypoth…
Zeta-functions of weight lattices of compact connected semisimple Lie groups
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
We define zeta-functions of weight lattices of compact connected semisimple Lie groups. If the group is simply-connected, these zeta-functions coincide with ordinary zeta-functions…
Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and -zeta functions
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
We consider certain double series of Eisenstein type involving hyperbolic-sine functions. We define certain generalized Hurwitz numbers, in terms of which we evaluate those double…
Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
In the former part of this paper, we give functional equations for Barnes multiple zeta-functions and consider some relevant results. In particular, we show that Ramanujan's classi…