中文

Convergence of zeta functions of graphs

数论 2007-05-23 v1 组合数学

摘要

The L2L^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 functions of the finite graphs converge to the L2L^2-zeta function of Y.

引用

@article{arxiv.math/0007094,
  title  = {Convergence of zeta functions of graphs},
  author = {Bryan Clair and Shahriar Mokhtari-Sharghi},
  journal= {arXiv preprint arXiv:math/0007094},
  year   = {2007}
}

备注

8 pages, 1 figure