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

Yasushi Komori; Kohji Matsumoto; Hirofumi Tsumura

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arXiv · 1202.0874

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

Yasushi Komori·Kohji Matsumoto·Hirofumi Tsumura

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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.

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Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura. 2012-02-04. Functional relations for zeta-functions of weight lattices of Lie groups of type $A_3$. https://arxiv.org/abs/1202.0874

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