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arxiv: 1609.03781 · v1 · pith:MJS2IAFJnew · submitted 2016-09-13 · 🧮 math.NT

A prime geodesic theorem for higher rank buildings

classification 🧮 math.NT
keywords buildingsgeodesicprimetheoremaffineapplyasymptoticscharacteristic
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We prove a prime geodesic theorem for compact quotients of affine buildings and apply it to get class number asymptotics for global fields of positive characteristic.

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