On the Integral Representation of Binary Quadratic Forms and the Artin Condition
文献类型：期刊论文
| 作者 | Lv, Chang4; Shentu, Junchao5; Deng, Yingpu6,7
|
| 刊名 | TOKYO JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2018-12-01 |
| 卷号 | 41期号:2页码:371-384 |
| 关键词 | binary quadratic forms integral points ring class field |
| ISSN号 | 0387-3870 |
| DOI | 10.3836/tjm/1502179249 |
| 英文摘要 | For diophantine equations of the form ax(2) + bxy + cy(2) + g = 0 over Z whose coefficients satisfy some assumptions, we show that a condition with respect to the Artin reciprocity map, which we call the Artin condition, is the only obstruction to the local-global principle for integral solutions of the equation. Some concrete examples are presented. |
| 资助项目 | National Natural Science Foundation of China[11471314] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000457878700003 |
| 出版者 | TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32431]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Lv, Chang |
| 作者单位 | 1.Univ Sci & Technol China, Inst Informat Engn, CAS, Hefei, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China 4.Chinese Acad Sci, State Key Lab Informat Secur, Inst Informat Engn, Beijing 100093, Peoples R China 5.Univ Sci & Technol China, Hefei 230001, Anhui, Peoples R China 6.Univ Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Chinese Acad Sci,NCMIS, Beijing 100190, Peoples R China 7.Univ Chinese Acad Sci, Sch Math Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lv, Chang,Shentu, Junchao,Deng, Yingpu. On the Integral Representation of Binary Quadratic Forms and the Artin Condition[J]. TOKYO JOURNAL OF MATHEMATICS,2018,41(2):371-384. |
| APA | Lv, Chang,Shentu, Junchao,&Deng, Yingpu.(2018).On the Integral Representation of Binary Quadratic Forms and the Artin Condition.TOKYO JOURNAL OF MATHEMATICS,41(2),371-384. |
| MLA | Lv, Chang,et al."On the Integral Representation of Binary Quadratic Forms and the Artin Condition".TOKYO JOURNAL OF MATHEMATICS 41.2(2018):371-384. |
入库方式： OAI收割
来源：数学与系统科学研究院
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