Functional relations for zeta-functions of weight lattices of Lie groups of type $A_3$

Yasushi Komori; Kohji Matsumoto; Hirofumi Tsumura

paper

Functional relations for zeta-functions of weight lattices of Lie groups of type $A_{3}$

arXiv:1202.0874

Abstract

We study zeta-functions of weight lattices of compact connected semisimple Lie groups of type $A_{3}$ . Actually we consider zeta-functions of SU(4), SO(6) and PU(4), and give some functional relations and new classes of evaluation formulas for them.

25 Pages

References in corpus (1)

Mean value theorems for the double zeta-function

Functional relations for zeta-functions of weight lattices of Lie groups of type A3​

Abstract

References in corpus (1)

Functional relations for zeta-functions of weight lattices of Lie groups of type $A_{3}$