5 citations · 6 across the 3 of their papers we have counts for
4 papers
Zeta functions of 3-dimensional p-adic Lie algebras
Benjamin Klopsch, Christopher Voll
We give an explicit formula for the subalgebra zeta function of a general 3-dimensional Lie algebra over the p-adic integers . To this end, we associate to such a Lie…
Functional equations for zeta functions of groups and rings
Christopher Voll
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 fun…
Zeta functions of groups and enumeration in Bruhat-Tits buildings
Christopher Voll
We introduce a new method to calculate local normal zeta functions of finitely generated, torsion-free nilpotent groups. It is based on an enumeration of vertices in the Bruhat-Tit…
Functional equations for local normal zeta functions of nilpotent groups
Christopher Voll
We give explicit formulae for the local normal zeta functions of torsion-free, class-2-nilpotent groups, subject to conditions on the associated Pfaffian hypersurface which are gen…