English

Combinatorial $L^2$-determinants

Number Theory 2007-05-23 v1

Abstract

We show that the zeta function of a regular graph admits a representation as a quotient of a determinant over a L2L^2-determinant of the combinatorial Laplacian.

Keywords

Cite

@article{arxiv.math/9909022,
  title  = {Combinatorial $L^2$-determinants},
  author = {Anton Deitmar},
  journal= {arXiv preprint arXiv:math/9909022},
  year   = {2007}
}

Comments

LATEX, 11 pages, to appear in: Proc. Edinburgh Math. Soc