Mathematics – Rings and Algebras
Scientific paper
2007-10-01
Journal reine angew. Math. 633 (2009), 197-211
Mathematics
Rings and Algebras
14 pages; descriptions in Section 2 corrected; other minor changes made.
Scientific paper
We define reduced zeta functions of Lie algebras, which can be derived from motivic zeta functions using the Euler characteristic. We show that reduced zeta functions of Lie algebras possessing a suitably well-behaved basis are easy to analyse. We prove that reduced zeta functions are multiplicative under certain conditions and investigate which reduced zeta functions have functional equations.
Evseev Anton
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