On graph theory Mertens' theorems
Number Theory
2015-07-03 v1
Abstract
In this paper, we study graph-theoretic analogies of the Mertens' theorems by using basic properties of the Ihara zeta-function. One of our results is a refinement of a special case of the dynamical system Mertens' second theorem due to Sharp and Pollicott.
Keywords
Cite
@article{arxiv.1507.00498,
title = {On graph theory Mertens' theorems},
author = {Takehiro Hasegawa and Seiken Saito},
journal= {arXiv preprint arXiv:1507.00498},
year = {2015}
}
Comments
13 pages