关于类数为2的双二次域中非主欧几里得理想类的存在性
数论
2022-11-24 v3
摘要
Lenstra引入了欧几里得理想类的概念，它是欧几里得整环的推广。Lenstra还证明了数域中的欧几里得理想意味着的类群是循环群。我们构造了一族双二次域，当类数为2时具有欧几里得理想。这推广了Graves、Hsu、Chattopadhyay和Muthukrishnan给出的族。
引用
@article{arxiv.2009.06464,
title = {On the existence of a non-principal Euclidean ideal class in biquadratic fields with class number two},
author = {Srilakshmi Krishnamoorthy and Sunil Kumar Pasupulati},
journal= {arXiv preprint arXiv:2009.06464},
year = {2022}
}
备注
To appear in Archiv der Mathematik,