Remarks on the zeta function of a graph

Remarks on the zeta function of a graph
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关于图的 zeta 函数的备注

DOI:
10.3934/proc.2003.2003.413
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发表时间:
2003
影响因子:
1.6
通讯作者:
J. W. Hoffman
J. W. Hoffman
中科院分区:
数学2区
文献类型:
--
作者:
J. W. Hoffman

文献摘要

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我们对一个图的ζ函数做两个观察。第一个
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.