English

Weber's class number problem and its variants

Number Theory 2022-11-29 v1 Geometric Topology

Abstract

We survey Weber's class number problem and its variants in the spirit of arithmetic topology; we recollect some history, present a relation to certain units and generalized Pell's equation, and overview a study of the pp-adic limits of class numbers in Zp\mathbb{Z}_p-towers together with numerical investigation for knots and elliptic curves.

Keywords

Cite

@article{arxiv.2211.15201,
  title  = {Weber's class number problem and its variants},
  author = {Hyuga Yoshizaki},
  journal= {arXiv preprint arXiv:2211.15201},
  year   = {2022}
}
R2 v1 2026-06-28T07:14:40.503Z