| 关于H．Yao－D．Knuth定理 |
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| 引用本文： | 郑志勇.关于H．Yao－D．Knuth定理[J].数学学报,1994,37(2). |
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| 作者姓名： | 郑志勇 |
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| 作者单位： | 中山大学数学系 |
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| 摘 要： | 本文研究一类有限连分数展开的部分商数之平均和。所得结果改进了这方面已有的最好工作。
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| 关 键 词： | 简单连分数，Heilbronn表示，Kloosterman和 |
| 收稿时间： | 1991-3-12 |
| 修稿时间： | 1991-12-15 |
On a Theorem of H. Yao and D. Knuth |
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| Zheng,Zhiyong.On a Theorem of H. Yao and D. Knuth[J].Acta Mathematica Sinica,1994,37(2). |
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| Authors: | Zheng Zhiyong |
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| Institution: | Zheng Zhiyong(Depedment of Matbematics, Wuhan University, wuhan 430072, China) |
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| Abstract: | This paper studies the average sum of partial quotients of a class of the finitecontinued frartions.A accurate asymptotic formula is given out. It improves upon a well-knownresult due H. Yao and D.Knuth. |
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| Keywords: | simple continued fraction heilbronn representation kloosterman sums |
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