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arxiv: 1902.03802 · v1 · pith:CUOZQ6DJnew · submitted 2019-02-11 · 🧮 math.NT · math.CO· math.SP

Weighted prime geodesic theorems

classification 🧮 math.NT math.COmath.SP
keywords weightedgeodesicprimetheoremsbassbuildingdataexpressed
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Prime geodesic theorems for weighted infinite graphs and weighted building quotients are given. The growth rates are expressed in terms of the spectral data of suitable translation operators inspired by a paper of Bass.

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