English

Ihara zeta functions and class numbers

Number Theory 2021-01-13 v3

Abstract

The prime geodesic theorem for cycles in Bruhat-Tits buildings is applied to unit groups of division algebras to derive new asymptotic assertion on class numbers of orders in imaginary quadratic fields.

Keywords

Cite

@article{arxiv.1403.7753,
  title  = {Ihara zeta functions and class numbers},
  author = {Anton Deitmar},
  journal= {arXiv preprint arXiv:1403.7753},
  year   = {2021}
}
R2 v1 2026-06-22T03:38:21.398Z