On the diophantine equation x(2)-Dy-2 = n

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	On the diophantine equation x(2)-Dy-2 = n
其他题名	On the diophantine equation x2-Dy2=n
	Wei DaSheng
	2013
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	56 期号:2 页码:227-238
摘要	We propose a method to determine the solvability of the diophantine equation x(2) - Dy-2 = n for the following two cases:
其他摘要	We propose a method to determine the solvability of the diophantine equation x~2-Dy~2=n for the following two cases:(1) D = pq,where p,q ≡ 1 mod 4 are distinct primes with(q/p)=1 and(p/q)4(q/p)4=-1.(2) D=2p1p2 ··· pm,where pi ≡ 1 mod 8,1≤i≤m are distinct primes and D=r~2+s~2 with r,s ≡±3 mod 8.
关键词	QUADRATIC FIELDS SOLVABILITY torus Hilbert class field reciprocity law
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Deutsche Forschungsgemeinschaft]
CSCD记录号	CSCD:4770169
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53062
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wei DaSheng. On the diophantine equation x(2)-Dy-2 = n[J]. SCIENCE CHINA-MATHEMATICS,2013,56(2):227-238.
APA	Wei DaSheng.(2013).On the diophantine equation x(2)-Dy-2 = n.SCIENCE CHINA-MATHEMATICS,56(2),227-238.
MLA	Wei DaSheng."On the diophantine equation x(2)-Dy-2 = n".SCIENCE CHINA-MATHEMATICS 56.2(2013):227-238.