3 papers
math.CO2016
The bundle Laplacian on discrete tori
Fabien Friedli
We prove an asymptotic formula for the determinant of the bundle Laplacian on discrete -dimensional tori as the number of vertices tends to infinity. This determinant has a comb…
math.NT2016
A functional relation for L-functions of graphs equivalent to the Riemann Hypothesis for Dirichlet L-functions
Fabien Friedli
In this note we define L-functions of finite graphs and study the particular case of finite cycles in the spirit of a previous paper that studied spectral zeta functions of graphs.…
math.NT2014
Spectral zeta functions of graphs and the Riemann zeta function in the critical strip
Fabien Friedli, Anders Karlsson
We initiate the study of spectral zeta functions for finite and infinite graphs , instead of the Ihara zeta function, with a perspective towards zeta functions from numb…