On the sum of two integral squares in certain quadratic fields

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	On the sum of two integral squares in certain quadratic fields
	Wei, Dasheng
	2015-07-01
发表期刊	FORUM MATHEMATICUM
ISSN	0933-7741
卷号	27 期号:4 页码:1923-1944
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.
关键词	Integral points ring class field reciprocity law
DOI	10.1515/forum-2012-0167
语种	英语
资助项目	Deutsche Forschungsgemeinschaft[DE 1646/2-1] ; NSFC[10901150] ; 973 Program[2013CB834202] ; Morningside Center of Mathematics
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000358310700002
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20445
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.