| 引用本文： |
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许成章,陈红,黎贞崇,何建东.小Sidon数上界初探[J].广西科学,2008,15(4):344-347. [点击复制]
- XU Cheng-zhang,CHEN Hong,LI Zhen-chong,HE Jian-dong.Initially Probing into Upper Bounds for Small Sidon Numbers[J].Guangxi Sciences,2008,15(4):344-347. [点击复制]
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| 摘要: |
| 给出一种新的计算小Sidon数F(k)的准确值或上界的算法,并获得6个Sidon数的新上界:F(15)≤ 159,F(16)≤ 191,F(17)≤ 221,F(18)≤ 252,F(19)≤ 298,F(20)≤ 341. |
| 关键词: Sidon序列 Sidon数 上界 |
| DOI： |
| 投稿时间：2008-07-20 |
| 基金项目:国家自然科学基金资助项目(60563008);广西自然科学基金资助项目(0728051);梧州学院科研项目资助项目(2007B007)资助 |
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| Initially Probing into Upper Bounds for Small Sidon Numbers |
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XU Cheng-zhang1, CHEN Hong1, LI Zhen-chong2, HE Jian-dong2
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| (1.Wuzhou University, Wuzhou, Guangxi, 543002, China;2.Guangxi Academy of Sciences, Nanning, Guangxi, 530007, China) |
| Abstract: |
| A new algorithm of computing precise values or upper bounds for small Sidon numbers is given and six new uppers:F (15)≤ 159, F (16)≤ 191, F (17)≤ 221, F (18)≤ 252, F (19)≤ 298, F (20)≤ 341 are obtained. |
| Key words: Sidon sequence Sidon number upper bound |
