On the unit group and the 2-class number of $$\mathbb {Q}(\sqrt{2},\sqrt{p},\sqrt{q})$$

Mohamed Mahmoud Chems-Eddin, Moha Ben Taleb El Hamam, Moulay Ahmed Hajjami
{"title":"On the unit group and the 2-class number of $$\\mathbb {Q}(\\sqrt{2},\\sqrt{p},\\sqrt{q})$$","authors":"Mohamed Mahmoud Chems-Eddin, Moha Ben Taleb El Hamam, Moulay Ahmed Hajjami","doi":"10.1007/s11139-024-00947-x","DOIUrl":null,"url":null,"abstract":"<p>Let <span>\\(p\\equiv 1\\pmod {8}\\)</span> and <span>\\(q\\equiv 7\\pmod 8\\)</span> be two prime numbers. The purpose of this paper is to compute the unit groups of the fields <span>\\(\\mathbb {L}=\\mathbb {Q}(\\sqrt{2}, \\sqrt{p}, \\sqrt{q})\\)</span> and give their 2-class numbers.</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Ramanujan Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11139-024-00947-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

Let \(p\equiv 1\pmod {8}\) and \(q\equiv 7\pmod 8\) be two prime numbers. The purpose of this paper is to compute the unit groups of the fields \(\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q})\) and give their 2-class numbers.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
关于单位群和 $$\mathbb {Q}(\sqrt{2},\sqrt{p},\sqrt{q})$$ 的 2 级数
让(p(1/pmod {8})和(q(7/pmod 8)是两个素数。本文的目的是计算域 \(\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q})\) 的单位群,并给出它们的二阶数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
On the periods of twisted moments of the Kloosterman connection Ramanujan’s missing hyperelliptic inversion formula A q-analog of the Stirling–Eulerian Polynomials Integer group determinants of order 16 Diophantine approximation with prime denominator in quadratic number fields under GRH
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1