Abstract
To create a discrete analogue of magnetic fields on Riemannian manifolds is a challenging problem. The notion of Kähler graphs introduced by the second author is one of trials of this discretization. In this article we study the asymptotic behavior of the weighted number of prime cycles with respect to their lengths by use of a zeta function.
Citation
Yaermaimaiti Tuerxunmaimaiti. Toshiaki Adachi. "Zeta functions for Kähler graphs." Kodai Math. J. 41 (2) 227 - 239, June 2018. https://doi.org/10.2996/kmj/1530496832