Functional equations for local normal zeta functions of nilpotent groups

Details Functional equations for local normal zeta functions of nilpotent groups Functional equations for local normal zeta functions of nilpotent groups

2003-05-26

arxiv.org/abs/math/0305362v3

Mathematics

Group Theory

17 pages. Appendix by Arnaud Beauville. Incorporated referee's suggestions

Scientific paper

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 generically satisfied by groups with small centre and sufficiently large abelianization. We show how the functional equations of two types of zeta functions - the Weil zeta function associated to an algebraic variety and zeta functions of algebraic groups introduced by Igusa - match up to give a functional equation for local normal zeta functions of groups. We also give explicit formulae and derive functional equations for an infinite family of class-2-nilpotent groups known as Grenham groups, confirming conjectures of du Sautoy.

Affiliated with

Also associated with

No associations

Rating

Functional equations for local normal zeta functions of nilpotent groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Functional equations for local normal zeta functions of nilpotent groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functional equations for local normal zeta functions of nilpotent groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458191