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

Pages: 638 - 646, Issue Special, July 2003

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Hirobumi Mizuno - Department of Electronics and Computer Science, Meisei University, 2-590, Nagabuti, Ome, Tokyo 198-8655, Japan (email)
Iwao Sato - Oyama National College of Technology, Oyama, Tochigi 323-0806, Japan (email)

Abstract: 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, the Selberg trace formula, semiregular graph
Mathematics Subject Classification:  Primary: 05C50, 05C25, 11F72, 11M41; Secondary: 15A15.

Received: July 2002;      Revised: April 2003;      Published: April 2003.