Algebraic independence by approximation method (II)
文献类型：期刊论文
| 作者 | Zhu, YC |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2000-07-01 |
| 卷号 | 16期号:3页码:395-398 |
| 关键词 | algebraic independence continued fraction approximation method |
| ISSN号 | 1000-9574 |
| 英文摘要 | Let f(x) be a continued fraction with elements a(n)x, where coefficients a(n) are positive algebraic numbers. Using the criterion of [1] for any nonzero real algebraic numbers alpha(1),...,alpha(s) with distinct absolute values the algebraic independence of the values f(alpha(1)),...,f(alpha(s)) is proved under certain assumption concerning only with a(n). For some transcendental numbers xi the algebraic independence of values f(xi(j)) (j epsilon Z) is also established. |
| 语种 | 英语 |
| WOS记录号 | WOS:000088498300003 |
| 出版者 | SPRINGER-VERLAG SINGAPORE PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15195]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, YC |
| 作者单位 | Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, YC. Algebraic independence by approximation method (II)[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2000,16(3):395-398. |
| APA | Zhu, YC.(2000).Algebraic independence by approximation method (II).ACTA MATHEMATICA SINICA-ENGLISH SERIES,16(3),395-398. |
| MLA | Zhu, YC."Algebraic independence by approximation method (II)".ACTA MATHEMATICA SINICA-ENGLISH SERIES 16.3(2000):395-398. |
入库方式： OAI收割
来源：数学与系统科学研究院
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