{"title":"实二次域 $${mathbb {Q}}$( $$\\sqrt{9m^{2}+2m})$$ 的理想类的部分戴德金兹塔值","authors":"Ahmad Issa, Boushra Darrag","doi":"10.1007/s00013-024-02037-2","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we obtain some of the partial Dedekind zeta values for ideal classes of the real quadratic field <span>\\({\\mathbb {Q}}\\)</span>(<span>\\(\\sqrt{D})\\)</span>, where <span>\\(D = 9m^{2}+2m\\)</span> is a square-free positive integer and <span>\\(m \\equiv 2\\)</span> (mod 3) is an odd positive integer.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"123 4","pages":"379 - 383"},"PeriodicalIF":0.5000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Partial Dedekind zeta values for ideal classes of the real quadratic field \\\\({\\\\mathbb {Q}}\\\\)(\\\\(\\\\sqrt{9m^{2}+2m})\\\\)\",\"authors\":\"Ahmad Issa, Boushra Darrag\",\"doi\":\"10.1007/s00013-024-02037-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we obtain some of the partial Dedekind zeta values for ideal classes of the real quadratic field <span>\\\\({\\\\mathbb {Q}}\\\\)</span>(<span>\\\\(\\\\sqrt{D})\\\\)</span>, where <span>\\\\(D = 9m^{2}+2m\\\\)</span> is a square-free positive integer and <span>\\\\(m \\\\equiv 2\\\\)</span> (mod 3) is an odd positive integer.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"123 4\",\"pages\":\"379 - 383\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-02037-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02037-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Partial Dedekind zeta values for ideal classes of the real quadratic field \({\mathbb {Q}}\)(\(\sqrt{9m^{2}+2m})\)
In this paper, we obtain some of the partial Dedekind zeta values for ideal classes of the real quadratic field \({\mathbb {Q}}\)(\(\sqrt{D})\), where \(D = 9m^{2}+2m\) is a square-free positive integer and \(m \equiv 2\) (mod 3) is an odd positive integer.
期刊介绍：
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
