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MOC
2002
73views more  MOC 2002»
14 years 8 days ago
Evaluation of zeta function of the simplest cubic field at negative odd integers
Abstract. In this paper, we are interested in the evaluation of the zeta function of the simplest cubic field. We first introduce Siegel's formula for values of the zeta funct...
Hyun Kwang Kim, Jung Soo Kim
COMBINATORICS
2007
87views more  COMBINATORICS 2007»
14 years 18 days ago
Bartholdi Zeta Functions for Hypergraphs
Recently, Storm [8] defined the Ihara-Selberg zeta function of a hypergraph, and gave two determinant expressions of it. We define the Bartholdi zeta function of a hypergraph, a...
Iwao Sato
COMBINATORICS
2006
142views more  COMBINATORICS 2006»
14 years 20 days ago
The Zeta Function of a Hypergraph
We generalize the Ihara-Selberg zeta function to hypergraphs in a natural way. Hashimoto's factorization results for biregular bipartite graphs apply, leading to exact factor...
Christopher K. Storm