On the sum of two integral squares in certain quadratic fields
文献类型:期刊论文
| 作者 | Wei, Dasheng
|
| 刊名 | FORUM MATHEMATICUM
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| 出版日期 | 2015-07-01 |
| 卷号 | 27期号:4页码:1923-1944 |
| 关键词 | Integral points ring class field reciprocity law |
| ISSN号 | 0933-7741 |
| DOI | 10.1515/forum-2012-0167 |
| 英文摘要 | In this note, we give a necessary and sufficient condition for determining which integers can be written as a sum of two integral squares for certain quadratic fields by using the integral Brauer-Manin obstruction. The condition is computable and originally from the reciprocity law. |
| 语种 | 英语 |
| WOS记录号 | WOS:000358310700002 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20444] ![]() |
| 专题 | 数学所 |
| 通讯作者 | Wei, Dasheng |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wei, Dasheng. On the sum of two integral squares in certain quadratic fields[J]. FORUM MATHEMATICUM,2015,27(4):1923-1944. |
| APA | Wei, Dasheng.(2015).On the sum of two integral squares in certain quadratic fields.FORUM MATHEMATICUM,27(4),1923-1944. |
| MLA | Wei, Dasheng."On the sum of two integral squares in certain quadratic fields".FORUM MATHEMATICUM 27.4(2015):1923-1944. |
入库方式: OAI收割
来源:数学与系统科学研究院
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