The estimate for mean values on prime numbers relative to 4/p=1/n(1)+1/n(2)+1/n(3)

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	The estimate for mean values on prime numbers relative to 4/p=1/n(1)+1/n(2)+1/n(3)
其他题名	The estimate for mean values on prime numbers relative to 4/p=1/(n_1) + 1/(n_2) + 1/(n_3)
	Jia ChaoHua 1
	2012
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	55 期号:3 页码:465-474
摘要	If n is a positive integer, let f(n) denote the number of positive integer solutions (n (1), n (2), n (3)) of the Diophantine equation
其他摘要	If n is a positive integer,let f （n） denote the number of positive integer solutions （n_1,n_2,n_3） of the Diophantine equation 4/n=1/n_1 + 1/n_2 + 1/n_3.For the prime number p,f （p） can be split into f_1 （p） + f_2 （p）,where f i （p）（i=1,2） counts those solutions with exactly i of denominators n_1,n_2,n_3 divisible by p.In this paper,we shall study the estimate for mean values ∑ p
关键词	Diophantine equation prime number mean value
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Morningside Center of Chinese Academy of Sciences]
CSCD记录号	CSCD:4537850
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56075
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Jia ChaoHua. The estimate for mean values on prime numbers relative to 4/p=1/n(1)+1/n(2)+1/n(3)[J]. SCIENCE CHINA-MATHEMATICS,2012,55(3):465-474.
APA	Jia ChaoHua.(2012).The estimate for mean values on prime numbers relative to 4/p=1/n(1)+1/n(2)+1/n(3).SCIENCE CHINA-MATHEMATICS,55(3),465-474.
MLA	Jia ChaoHua."The estimate for mean values on prime numbers relative to 4/p=1/n(1)+1/n(2)+1/n(3)".SCIENCE CHINA-MATHEMATICS 55.3(2012):465-474.