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arXiv · 1507.00498

On graph theory Mertens' theorems

Takehiro Hasegawa·Seiken Saito
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Abstract

In this paper, we study graph-theoretic analogies of the Mertens' theorems by using basic properties of the Ihara zeta-function. One of our results is a refinement of a special case of the dynamical system Mertens' second theorem due to Sharp and Pollicott.

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Takehiro Hasegawa, Seiken Saito. 2015-07-02. On graph theory Mertens' theorems. https://arxiv.org/abs/1507.00498

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