English

A prime geodesic theorem for higher rank buildings

Number Theory 2016-09-14 v1

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.

Keywords

Cite

@article{arxiv.1609.03781,
  title  = {A prime geodesic theorem for higher rank buildings},
  author = {Anton Deitmar and Rupert McCallum},
  journal= {arXiv preprint arXiv:1609.03781},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1403.7753

R2 v1 2026-06-22T15:48:12.302Z