On the inverse problem relative to dynamics of the w function
文献类型：期刊论文
| 作者 | Jia ChaoHua; JIA ChaoHua
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2009-05-01 |
| 卷号 | 52期号:5页码:849-856 |
| 关键词 | dynamics prime number w function |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-009-0060-4 |
| 英文摘要 | Let P be the set of prime numbers and P(n) denote the largest prime factor of integer n > 1. Write C(3) = {p(1)p(2)p(3) : p(i) is an element of P (i = 1, 2, 3), p(i) not equal = p(j) (i not equal j)}, B(3) = {p(1)p(2)p(3) : p(i) is an element of P (i = 1, 2, 3), p(1) = p(2) or p(1) = p(3) or p(2) = p(3), but not p(1) = p(2) = p(3)}. For n = p(1)p(2)p(3) is an element of C(3) boolean OR B(3), we define the w function by w(n) = P(p(1) vertical bar p(2)) P(p(1) vertical bar p(3)) P(p(2) vertical bar p(3)). If there is m is an element of S subset of C(3) boolean OR B(3) such that w(m) = n, then we call m S-parent of n. We shall prove that there are infinitely many elements of C(3) which have enough C(3)-parents and that there are infinitely many elements of B(3) which have enough C(3)-parents. We shall also prove that there are infinitely many elements of B(3) which have enough B(3)-parents. |
| 语种 | 英语 |
| WOS记录号 | WOS:000265942700001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8571]  |
| 专题 | 数学所 |
| 通讯作者 | Jia ChaoHua |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia ChaoHua,JIA ChaoHua. On the inverse problem relative to dynamics of the w function[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2009,52(5):849-856. |
| APA | Jia ChaoHua,&JIA ChaoHua.(2009).On the inverse problem relative to dynamics of the w function.SCIENCE IN CHINA SERIES A-MATHEMATICS,52(5),849-856. |
| MLA | Jia ChaoHua,et al."On the inverse problem relative to dynamics of the w function".SCIENCE IN CHINA SERIES A-MATHEMATICS 52.5(2009):849-856. |
入库方式： OAI收割
来源：数学与系统科学研究院
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