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arXiv · 1402.4945

Ihara Zeta functions of infinite weighted graphs

Antonius Deitmar
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Abstract

The theory of Ihara zeta functions is extended to infinite graphs which are weighted and of finite total weight. In this case one gets meromorphic instead of rational functions and the classical determinant formulas of Bass and Ihara hold true with Fredholm determinants.

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Antonius Deitmar. 2014-02-20. Ihara Zeta functions of infinite weighted graphs. https://arxiv.org/abs/1402.4945

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