Local Functional Equations for Submodule Zeta Functions Associated to Nilpotent Algebras of Endomorphisms

DOI10.1093/imrn/rnx186zbMath1468.11189arXiv1602.07025OpenAlexW2962781956MaRDI QIDQ5243341

Christopher Voll

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07025

zbMATH Keywords

nilpotent algebrasMal'cev correspondencenilpotent Lie lattices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms and endomorphisms (16W20) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions (11S40)

Related Items (10)

Zeta functions of the 3-dimensional almost-Bieberbach groups ⋮ A Framework for Computing Zeta Functions of Groups, Algebras, and Modules ⋮ Enumerating submodules invariant under an endomorphism ⋮ Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations ⋮ Generalized Igusa functions and ideal growth in nilpotent Lie rings ⋮ Computing local zeta functions of groups, algebras, and modules ⋮ Generalized Igusa functions and ideal growth in nilpotent Lie rings ⋮ Enumerating graded ideals in graded rings associated to free nilpotent Lie rings ⋮ Zeta functions of groups and rings -- functional equations and analytic uniformity ⋮ Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension

This page was built for publication: Local Functional Equations for Submodule Zeta Functions Associated to Nilpotent Algebras of Endomorphisms