Tree-lattice zeta functions and class numbers

DOI10.1307/mmj/1529460323zbMath1465.11186arXiv1402.4759OpenAlexW2962916010WikidataQ129651703 ScholiaQ129651703MaRDI QIDQ1616288

Ming-Hsuan Kang, Anton Deitmar

Publication date: 1 November 2018

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4759

zbMATH Keywords

class numbersarithmetic groupsglobal fieldsBruhat-Tits treesprime geodesic theoremIhara zeta functions

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Other Dirichlet series and zeta functions (11M41) Class numbers, class groups, discriminants (11R29) Free nonabelian groups (20E05)

Related Items (2)

Building lattices and zeta functions ⋮ Weighted prime geodesic theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heat kernels on regular graphs and generalized Ihara zeta function formulas
• Class numbers of orders in cubic fields
• Zeta functions of finite graphs and coverings. III
• Ihara's zeta function for periodic graphs and its approximation in the amenable case
• Lattices in rank one Lie groups over local fields
• Geometry and analysis on manifolds. Proceedings of the 21st inernational Taniguchi symposium held at Katata, Japan, Aug. 23-29 and the conference held at Kyoto, Aug. 31-Sep. 2, 1987
• Zeta functions of finite graphs and coverings. II
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Asymptotics of class numbers
• Zeta functions of finite graphs and coverings
• On zeta functions of arithmetically defined graphs
• Class numbers of orders in complex quartic fields
• Zeta functions of graphs with \(\mathbb Z\) actions
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps
• ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS
• Class numbers of indefinite binary quadratic forms
• Zeta functions of discrete groups acting on trees

This page was built for publication: Tree-lattice zeta functions and class numbers