Building lattices and zeta functions

Anton Deitmar; Ming-Hsuan Kang; Rupert McCallum

doi:10.1515/advgeom-2019-0022

Building lattices and zeta functions

Anton Deitmar^*, Ming-Hsuan Kang, Rupert McCallum

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We give a Lefschetz formula for tree lattices and apply it to geometric zeta functions. We further generalize Bass's approach to Ihara zeta functions to the higher-dimensional case of a building.

Original language	American English
Journal	Advances in Geometry
DOIs	https://doi.org/10.1515/advgeom-2019-0022
State	Accepted/In press - 4 Jul 2019

Keywords

Building
Lefschetz formula
tree lattice
zeta function

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10.1515/advgeom-2019-0022

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title = "Building lattices and zeta functions",

abstract = "We give a Lefschetz formula for tree lattices and apply it to geometric zeta functions. We further generalize Bass's approach to Ihara zeta functions to the higher-dimensional case of a building.",

keywords = "Building, Lefschetz formula, tree lattice, zeta function",

author = "Anton Deitmar and Ming-Hsuan Kang and Rupert McCallum",

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doi = "10.1515/advgeom-2019-0022",

language = "American English",

journal = "Advances in Geometry",

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AU - Deitmar, Anton

AU - Kang, Ming-Hsuan

AU - McCallum, Rupert

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N2 - We give a Lefschetz formula for tree lattices and apply it to geometric zeta functions. We further generalize Bass's approach to Ihara zeta functions to the higher-dimensional case of a building.

AB - We give a Lefschetz formula for tree lattices and apply it to geometric zeta functions. We further generalize Bass's approach to Ihara zeta functions to the higher-dimensional case of a building.

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KW - Lefschetz formula

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KW - zeta function

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M3 - Article

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SN - 1615-715X

JO - Advances in Geometry

JF - Advances in Geometry

ER -

Building lattices and zeta functions

Abstract

Keywords

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