Functional equations for local normal zeta functions of nilpotent groups
نویسندگان
چکیده
منابع مشابه
Functional equations for local normal zeta functions of nilpotent groups
We give an explicit formula for the local normal zeta functions of torsion-free, class-2-nilpotent groups at primes p where the associated Pfaffian hypersurface has good reduction mod p and contains no lines. We show how together 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 ...
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The local normal zeta functions of a finitely generated, torsion-free nilpotent group G of class 2 depend on the geometry of the Pfaffian hypersurface associated to the bilinear form induced by taking commutators in G. The smallest examples of zeta functions which are not finitely uniform arise from groups whose associated Pfaffian hypersurfaces are plane curves. In this paper we study groups w...
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ژورنال
عنوان ژورنال: GAFA Geometric And Functional Analysis
سال: 2005
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-005-0506-y