Zeta functions related to the group of \(\text{SL}_2(\mathbb{Z}_p)\)

DOI10.1007/BF02775033zbMath0996.11055MaRDI QIDQ1288497

Ishai Ilani

Publication date: 28 September 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

principal congruence subgroupszeta functionexplicit formula\(p\)-adic integration methodfinite quotients methodnumber of subgroups of prime power index

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Other Dirichlet series and zeta functions (11M41) Structure of modular groups and generalizations; arithmetic groups (11F06) Linear algebraic groups over local fields and their integers (20G25)

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Zeta functions of three-dimensional \(p\)-adic Lie algebras ⋮ Normal Zeta Functions of Some pro-pGroups ⋮ A Framework for Computing Zeta Functions of Groups, Algebras, and Modules ⋮ Computing local zeta functions of groups, algebras, and modules ⋮ On self-similarity of \(p\)-adic analytic pro-\(p\) groups of small dimension ⋮ Computing topological zeta functions of groups, algebras, and modules, I

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