On optimal simultaneous rational approximation to (omega, omega(2))(tau) with omega being some kind of cubic algebraic function
文献类型：期刊论文
| 作者 | Wang, Quanlong; Wang, Kunpeng; Dai, Zongduo |
| 刊名 | Journal of approximation theory
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 148期号:2页码:194-210 |
| 关键词 | Multi-diniensional continued fraction algorithm Jacobi-perron algorithm Modified jacobi-perron algorithm Optimal simultaneous rational approximation |
| ISSN号 | 0021-9045 |
| DOI | 10.1016/j.jat.2007.04.002 |
| 通讯作者 | Wang, quanlong(quanlongwang@yahoo.com.cn) |
| 英文摘要 | It is shown that each rational approximant to (omega, omega(2))(tau) given by the jacobi-perron algorithm (jpa) or modified jacobi-perron algorithm (mjpa) is optimal, where omega is an algebraic function (a formal laurent series over a finite field) satisfying omega(3) + k omega - 1 = 0 or omega(3) + kd omega - d = 0. a result similar to the main result of ito et al. [on simultaneous approximation to (alpha, alpha(2)) with alpha(3) + k alpha - 1 = 0, j. number theory 99 (2003) 255-283] is obtained. (c) 2007 elsevier inc. all rights reserved. |
| WOS关键词 | JACOBI-PERRON ALGORITHM ; FORMAL SERIES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000251429200006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2380199 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Wang, Quanlong |
| 作者单位 | 1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Grad Sch, State Key Lab Informat Security, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Quanlong,Wang, Kunpeng,Dai, Zongduo. On optimal simultaneous rational approximation to (omega, omega(2))(tau) with omega being some kind of cubic algebraic function[J]. Journal of approximation theory,2007,148(2):194-210. |
| APA | Wang, Quanlong,Wang, Kunpeng,&Dai, Zongduo.(2007).On optimal simultaneous rational approximation to (omega, omega(2))(tau) with omega being some kind of cubic algebraic function.Journal of approximation theory,148(2),194-210. |
| MLA | Wang, Quanlong,et al."On optimal simultaneous rational approximation to (omega, omega(2))(tau) with omega being some kind of cubic algebraic function".Journal of approximation theory 148.2(2007):194-210. |
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来源：中国科学院大学
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