| 关于Smarandache函数的下界估计 |
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| 引用本文： | 史婵.关于Smarandache函数的下界估计[J].商洛师范专科学校学报,2014(2):9-10,39. |
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| 作者姓名： | 史婵 |
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| 作者单位： | 西安邮电大学通信与信息工程学院,陕西西安710121 |
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| 摘 要： | 运用初等及组合方法研究Smarandache函数在一些特殊值上的下界估计，给出了Smarandache函数的一个较强的下界估计，证明了S（2^P-1）≥14P＋l以及5（2^P＋1）≥14P＋1，其中P为任意素数且P≥17，从而改进了相关文献的结果。
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| 关 键 词： | Smarandache函数 下界估计 初等方法 渐近公式 |
A Lower Bound Estimate for the Smarandache Function |
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| SHI Chan.A Lower Bound Estimate for the Smarandache Function[J].Journal of Shangluo Teachers College,2014(2):9-10,39. |
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| Authors: | SHI Chan |
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| Institution: | SHI Chan (School of Telecommunication and Information Engineering, Xi＇an University of Posts and Telecommunications, Xi＇an 710121, Shaanxi) |
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| Abstract: | Elementary and combinational methods are applied to study the lower bound estimate problem of the Smarandache function for some special sequences, and a group of sharper lower bound estimate S（2^P-1）≥14P＋1 and S（2^P＋1）≥14P＋1 laas been obtained, where P≥17 P being any prime. This improved the result of the related documents. |
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| Keywords: | Smarandache function lower bound estimate elementary method asymptotic formula |
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