Bryan Clair

activity

19972013

most citedGrowth of Betti Numbers

2 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2013

The Ihara zeta function of the infinite grid

Bryan Clair

The infinite grid is the Cayley graph of $Z \times Z$ with the usual generators. In this paper, the Ihara zeta function for the infinite grid is computed using el…

math.NT2006

Zeta functions of graphs with $Z$ actions

Bryan Clair

Suppose $Y$ is a regular covering of a graph $X$ with covering transformation group $π = Z$ . This paper gives an explicit formula for the $L^{2}$ zeta function of $Y$ and com…

math.NT2000

Convergence of zeta functions of graphs

Bryan Clair, Shahriar Mokhtari-Sharghi

The $L^{2}$ -zeta function of an infinite graph Y (defined previously in a ball around zero) has an analytic extension. For a tower of finite graphs covered by Y, the normalized zeta…

The Ihara zeta function of the infinite grid

Zeta functions of graphs with Z actions

Convergence of zeta functions of graphs

Zeta functions of graphs with $Z$ actions