Functional relations for zeta-functions of weight lattices of Lie groups   of type $A_3$
  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. 
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
math.NT