阿贝尔数域的类数分布
数论
2023-04-25 v2
摘要
我们研究具有给定伽罗瓦群的数域阿贝尔扩张之类数的定量行为。我们证明了类数平均值的渐近公式，并表明任意给定的类数仅以 0% 的概率出现。
引用
@article{arxiv.2209.10659,
title = {Distribution of genus numbers of abelian number fields},
author = {Christopher Frei and Daniel Loughran and Rachel Newton},
journal= {arXiv preprint arXiv:2209.10659},
year = {2023}
}
备注
19 pages. Final version, accepted for publication in Journal of the London Mathematical Society. Published online at https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.12737