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

Hirofumi Tsumura; Kohji Matsumoto; Yasushi Komori

arxiv: 1202.0874 · v1 · pith:JRQHD4NQnew · submitted 2012-02-04 · 🧮 math.NT

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

Yasushi Komori , Kohji Matsumoto , Hirofumi Tsumura This is my paper

classification 🧮 math.NT

keywords zeta-functionsfunctionalgroupslatticesrelationstypeweightactually

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

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