Algebraic independence of certain generalized Mahler type numbers
文献类型：期刊论文
| 作者 | Zhu, Yao Chen |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2007 |
| 卷号 | 23期号:1页码:17-22 |
| 关键词 | Mahler type numbers generalized Mahler type numbers algebraic independence multiplicative dependence |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-005-0766-3 |
| 英文摘要 | In this paper the generalized Mahler type number M-h (g; A, T) is defined, and in the case of multiplicatively dependent parameters g(i), h(i) (1 <= i <= s) the algebraic independence of the numbers Mh(i) (g(i); A; T)(1 < i < s) is proved, where A and T are certain infinite sequences of non-negative integers and of positive integers, respectively. Furthermore, the algebraic independence result on values of a certain function connected with the generalized Mahler type number and its derivatives at algebraic numbers is also given. |
| 语种 | 英语 |
| WOS记录号 | WOS:000242157400003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4613]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, Yao Chen |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Yao Chen. Algebraic independence of certain generalized Mahler type numbers[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(1):17-22. |
| APA | Zhu, Yao Chen.(2007).Algebraic independence of certain generalized Mahler type numbers.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(1),17-22. |
| MLA | Zhu, Yao Chen."Algebraic independence of certain generalized Mahler type numbers".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.1(2007):17-22. |
入库方式： OAI收割
来源：数学与系统科学研究院
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