Computing local zeta functions of groups, algebras, and modules
type: Item
instance of: scholarly article
title: Computing local zeta functions of groups, algebras, and modules
zbMATH Open document ID: 1440.11175
author: Tobias Rossmann
published in: Transactions of the American Mathematical Society
publication date: 2018-04-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1602.00919
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 20F69
Mathematics Subject Classification ID: 20G30
Mathematics Subject Classification ID: 20F18
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 6862798
zbMATH Keywords: subgroup growth
zbMATH Keywords: representation growth
zbMATH Keywords: zeta functions
zbMATH Keywords: unipotent groups
zbMATH Keywords: Lie algebras
MaRDI profile type: Publication
OpenAlex ID: W2963637632
arXiv ID: 1602.00919
cites work: Q4305609
cites work: Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups
cites work: Integer points in polyhedra
cites work: Q4938470
cites work: Short rational generating functions for lattice point problems
cites work: A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
cites work: Classification of Solvable Lie Algebras
cites work: Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
cites work: Q5602064
cites work: Q4010666
cites work: Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
cites work: The zeta function of sl2(ℤ)
cites work: Analytic properties of zeta functions and subgroup growth
cites work: Motivic zeta functions of infinite-dimensional Lie algebras
cites work: The zeta function of \(\mathfrak{sl}_2\) and resolution of singularities
cites work: Zeta functions of groups and rings
cites work: Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups
cites work: Reduced zeta functions of Lie algebras
cites work: Counting irreducible representations of the Heisenberg group over the integers of a quadratic number field.
cites work: Q5509036
cites work: The representation zeta function of a FAb compact p -adic Lie group vanishes at −2
cites work: Subgroups of finite index in nilpotent groups
cites work: Zeta functions related to the group of \(\text{SL}_2(\mathbb{Z}_p)\)
cites work: Q4297048
cites work: Zeta functions of three-dimensional \(p\)-adic Lie algebras
cites work: Graded nilpotent Lie algebras in low dimensions
cites work: Q5596303
cites work: Orders of a quartic field
cites work: Q3475499
cites work: Computing topological zeta functions of groups, algebras, and modules, I
cites work: Computing topological zeta functions of groups, algebras, and modules. II.
cites work: Topological representation zeta functions of unipotent groups
cites work: Enumerating submodules invariant under an endomorphism
cites work: A Framework for Computing Zeta Functions of Groups, Algebras, and Modules
cites work: Q3094456
cites work: Zeta functions and integral representation theory
cites work: Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B
cites work: Functional equations for zeta functions of groups and rings
cites work: Local Functional Equations for Submodule Zeta Functions Associated to Nilpotent Algebras of Endomorphisms
cites work: Zeta functions of Lie rings of upper-triangular matrices
DOI: 10.1090/TRAN/7361
description: scientific article; zbMATH DE number 6862798