Functional equations for zeta functions of groups and rings

@article{Voll2006FunctionalEF,
  title={Functional equations for zeta functions of groups and rings},
  author={Christopher Voll},
  journal={Annals of Mathematics},
  year={2006},
  volume={172},
  pages={1181-1218}
}
  • C. Voll
  • Published 18 December 2006
  • Mathematics
  • Annals of Mathematics
We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for the subring zeta functions associated to rings, the subgroup, conjugacy and representation zeta functions of finitely generated, torsion-free nilpotent (or T -)groups, and the normal zeta functions of T -groups of class 2. In particular we… 
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