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June 2018 Zeta functions for Kähler graphs
Yaermaimaiti Tuerxunmaimaiti, Toshiaki Adachi
Kodai Math. J. 41(2): 227-239 (June 2018). DOI: 10.2996/kmj/1530496832

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.

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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

Information

Published: June 2018
First available in Project Euclid: 2 July 2018

zbMATH: 06936450
MathSciNet: MR3824848
Digital Object Identifier: 10.2996/kmj/1530496832

Rights: Copyright © 2018 Tokyo Institute of Technology, Department of Mathematics

JOURNAL ARTICLE
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Vol.41 • No. 2 • June 2018
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