THE IHARA–SELBERG ZETA FUNCTION FOR PGL<sub>3</sub> AND HECKE OPERATORS

Anton Deitmar, J. William Hoffman

Type: Article

Publication Date: 2006-02-01

Citations: 11

DOI: https://doi.org/10.1142/s0129167x06003412

Abstract

A weak version of the Ihara formula is proved for zeta functions attached to quotients of the Bruhat–Tits building of PGL 3 . This formula expresses the zeta function in terms of Hecke-operators. It is the first step towards an arithmetical interpretation of the combinatorially defined zeta function.

Locations

International Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Discrete subgroups of 𝑃𝐿(2,𝑘_{℘})	1966	Yasutaka Ihara
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