Computing topological zeta functions of groups, algebras, and modules. II.

DOI10.1016/j.jalgebra.2015.07.039zbMath1329.14053arXiv1409.5044OpenAlexW2963037195MaRDI QIDQ745170

Tobias Rossmann

Publication date: 13 October 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5044

zbMATH Keywords

subgroup growthIgusa zeta functiontopological zeta functionstoric data

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Subgroup theorems; subgroup growth (20E07) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Asymptotic properties of groups (20F69)

Related Items (7)

Stability results for local zeta functions of groups algebras, and modules ⋮ A Framework for Computing Zeta Functions of Groups, Algebras, and Modules ⋮ Enumerating submodules invariant under an endomorphism ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ Topological representation zeta functions of unipotent groups ⋮ Computing local zeta functions of groups, algebras, and modules ⋮ Counting finite index subrings of $\mathbb Z^n$

Uses Software

• GAP
• Normaliz
• SageMath
• SINGULAR
• Gfan
• CSM-A
• Guarana
• Zeta
• CharacteristicClasses

Cites Work

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