Normal zeta functions of the Heisenberg groups over number rings II — the non-split case
Schein, Michael M.
Schein
Michael M.
Voll, Christopher
Voll
Christopher
We compute explicitly the normal zeta functions of the Heisenberg groups H(R), where R is a compact discrete valuation ring of characteristic zero. These zeta functions occur as Euler factors of normal zeta functions of Heisenberg groups of the form H(OK), where OK is the ring of integers of an arbitrary number field K, at the rational primes which are non-split in K. We show that these local zeta functions satisfy functional equations upon inversion of the prime.
211
1
171-195
171-195
Hebrew Univ Magnes Press
2016