| 某些超越连分数的代数无关性(Ⅱ) |
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| 引用本文： | 朱尧辰.某些超越连分数的代数无关性(Ⅱ)[J].数学学报,2001,44(5):815-822. |
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| 作者姓名： | 朱尧辰 |
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| 作者单位： | 中国科学院数 |
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| 基金项目： | 国家自然科学基金资助项目(19871083) |
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| 摘 要： | 本文证明了某些以ａｎｘ（ａｎ为正代数数）为元素的连分式在代数点和超越点上值的代数无关性．特别地，某些关于简单连分数的代数无关性结果被扩充到更广泛的情形。
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| 关 键 词： | 代数无关性 连分式 简单连分数 |
| 文章编号： | 0583-1431(2001)05-0815-08 |
| 修稿时间： | 2000年1月25日 |
Algebraic Independence of Certain Transcendental Continued Fractions(II) |
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| ZHU Yao Chen.Algebraic Independence of Certain Transcendental Continued Fractions(II)[J].Acta Mathematica Sinica,2001,44(5):815-822. |
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| Authors: | ZHU Yao Chen |
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| Institution: | ZHU Yao Chen (Institute of Applied Mathematics, Acodemy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China) |
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| Abstract: | The algebraic independence of values of certain continued fractions with elements anx (n≥0) at algebraic and transcendental points is proved, where an (n ≥ 1) are positive algebraic numbers. Especially, some results about algebraic independence of simple continued fractions are extended to more wide cases. |
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| Keywords: | Algebraic independence Continued fraction Sinmple cotinued fraction |
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