Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Zeta functions for Kähler graphs
Yaermaimaiti TuerxunmaimaitiToshiaki Adachi
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2018 年 41 巻 2 号 p. 227-239

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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.

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© 2018 Department of Mathematics, Tokyo Institute of Technology
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