American Institute of Mathematical Sciences

Advanced
2003, 2003(Special): 638-646. doi: 10.3934/proc.2003.2003.638

L-functions and the Selberg trace formulas for semiregular bipartite graphs

Hirobumi Mizuno 1, and  Iwao Sato 2,

1. 

Department of Electronics and Computer Science, Meisei University, 2-590, Nagabuti, Ome, Tokyo 198-8655, Japan
2. 

Oyama National College of Technology, Oyama, Tochigi 323-0806, Japan

Received  July 2002 Revised  April 2003 Published  April 2003

We give a decomposition formula for the L-function of a semiregular bipartite graph G. Furthermore, we present the Selberg trace formula for the above L-function of G.
Keywords: zeta function, semiregular graph, the Selberg trace formula.
Mathematics Subject Classification: Primary: 05C50, 05C25, 11F72, 11M41; Secondary: 15A1.
Citation: Hirobumi Mizuno, Iwao Sato. L-functions and the Selberg trace formulas for semiregular bipartite graphs. Conference Publications, 2003, 2003 (Special) : 638-646. doi: 10.3934/proc.2003.2003.638
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