Kodai Mathematical Journal

A prime geodesic theorem for higher rank buildings

Anton Deitmar and Rupert McCallum

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Abstract

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.

Article information

Source
Kodai Math. J., Volume 41, Number 2 (2018), 440-455.

Dates
First available in Project Euclid: 2 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1530496852

Digital Object Identifier
doi:10.2996/kmj/1530496852

Mathematical Reviews number (MathSciNet)
MR3824861

Zentralblatt MATH identifier
06936463

Citation

Deitmar, Anton; McCallum, Rupert. A prime geodesic theorem for higher rank buildings. Kodai Math. J. 41 (2018), no. 2, 440--455. doi:10.2996/kmj/1530496852. https://projecteuclid.org/euclid.kmj/1530496852


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Tokyo Institute of Technology, Department of Mathematics

Kodai Mathematical Journal

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