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

Mathematics – Number Theory

Scientific paper

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25 Pages

Scientific paper

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.

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