Ihara zeta function

Known as: Ihara

In mathematics, the Ihara zeta-function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta-function, and is…

Papers overview

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2015

We consider the ensemble of real symmetric random matrices $H^{(n,\rho)}$ obtained from the determinant form of the Ihara zeta…

2014

We show that there is a relationship between modular forms and totally odd multiple zeta values, by relating the matrix $E_{N,r…

2013

The infinite grid is the Cayley graph of $\mathbb{Z} \times \mathbb{Z}$ with the usual generators. In this paper, the Ihara zeta…

2010

In 2009, Cooper presented an infinite family of pairs of graphs which were conjectured to have the same Ihara zeta function. We…

2009

We analyze here some new results about the asymptotic behaviour of the ratio which compares the cardinal of labeled Directed…

2008

This paper shows how to construct pattern vectors from the Ihara zeta function for the purposes of characterizing graph…

2006

We explore three seemingly disparate but related avenues of inquiry: expanding what is known about the properties of the poles of…

2005

A weak version of the Ihara formula is proved for zeta functions attached to quotients of the Bruhat-Tits building of PGL3. This…

2002

Ihara [11] introduced the quantity A(q) = limsupg→∞ N q (g)/g where N q (g) is the maximum number of rational places of a…

1992

INTRODUCTION. General Properties of Sphincters (M. Watanabe). Sphincters of the Gastrointestinal Tract: General Properties (S.F…