14 citations · 15 across the 5 of their papers we have counts for
6 papers
Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension
Mark N. Berman, Itay Glazer, Michael M. Schein
We consider pro-isomorphic zeta functions of the groups , where is a unipotent group scheme defined over and varies over all number fields. U…
A family of class-2 nilpotent groups, their automorphisms and pro-isomorphic zeta functions
Mark N. Berman, Benjamin Klopsch, Uri Onn
The pro-isomorphic zeta function of a finitely generated nilpotent group is a Dirichlet generating function that enumerates finite-index subgroups whose profinite completion is…
On pro-isomorphic zeta functions of -groups of even Hirsch length
Mark N. Berman, Benjamin Klopsch, Uri Onn
The pro-isomorphic zeta function of a finitely generated nilpotent group is a Dirichlet generating series that enumerates all finite-index subgroups whose profinite completion is i…
A nilpotent group without local functional equations for pro-isomorphic subgroups
Mark N. Berman, Benjamin Klopsch
The pro-isomorphic zeta function of a torsion-free finitely generated nilpotent group G enumerates finite index subgroups H such that H and G have isomorphic profinite completions.…
Uniform cell decomposition with applications to Chevalley groups
Mark N. Berman, Jamshid Derakhshan, Uri Onn +1
We express integrals of definable functions over definable sets uniformly for non-Archimedean local fields, extending results of Pas. We apply this to Chevalley groups, in particul…
Uniformity and Functional Equations for Local Zeta Functions of -Split Algebraic Groups
Mark Berman
We study the local zeta functions of an algebraic group defined over together with a faithful -rational representation for a finite e…