| 3N+1猜想与3N+3k猜想的等价性及相关性质 |
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| 引用本文： | 李小纯,刘军.3N+1猜想与3N+3k猜想的等价性及相关性质[J].华中科技大学学报(自然科学版),2006,34(7):120-121. |
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| 作者姓名： | 李小纯 刘军 |
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| 作者单位： | 空军雷达学院,指挥系,湖北,武汉,430019 |
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| 摘 要： | 将数论中3N＋1猜想推广为3N＋3^k猜想．得到了3N＋1猜想与3N＋3^k猜想的等价性．得到有关3N＋3猜想的一些性质．3N＋1猜想的推广、3N＋3猜想的一些性质的建立对于研究4K＋3型奇数在3N＋3猜想压缩迭代中起到简化作用，同时也为3N＋1猜想的研究提供了新思路．
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| 关 键 词： | 3N 1猜想 3N 3k猜想 压缩迭代 |
| 文章编号： | 1671-4512（2006）07-0120-02 |
| 收稿时间： | 2004-08-22 |
| 修稿时间： | 2004年8月22日 |
3N+1 and 3N+3k conjectures equivalence and some properties |
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| Li Xiaochun,Liu Jun.3N+1 and 3N+3k conjectures equivalence and some properties[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2006,34(7):120-121. |
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| Authors: | Li Xiaochun Liu Jun |
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| Abstract: | 3N 1 conjecture in number theory was extended to 3N 3k one. It was pointed out that 3N 3 conjecture is equivalent to 3N 3k one. Some properties related to 3N 3 were obtained. The generalization of 3N 1 conjecture and these newly obtained properties not only simplify the operation about 4K 3-odd numbers in 3N 3 conjecture but also provide new way in researching of 3N 1 conjecture. |
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| Keywords: | 3N 1 conjecture 3N 3~k conjecture contractive iteration |
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