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On continuity in parameters of integrated semigroups
2003, 2003(Special): 413-422.
doi: 10.3934/proc.2003.2003.413
Remarks on the zeta function of a graph
| 1. | Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803, United States |
- Abstract
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Under a Creative Commons license
We make two observations about the zeta function of a graph. First
we show how Bass’s proof of Ihara’s formula fits into the framework of torsion of
complexes. Second, we show how in the special case of those graphs that are quotients
of the Bruhat-Tits tree for SL(2, $K$) for a local nonarchimedean field $K$, the zeta
function has a natural expression in terms of the $L$-functions of Coexter systems.
Keywords:
Keywords and Phrases.
Mathematics Subject Classification:
Primary: 11M41, Secondary: 11F72, 14G35, 20E4.
Citation:
J. William Hoffman. Remarks on the zeta function of a graph. Conference Publications,
2003, 2003
(Special)
: 413-422.
doi: 10.3934/proc.2003.2003.413
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