On a mean value formula for the approximate functional equation of zeta(s) in the critical strip
文献类型：期刊论文
| 作者 | Feng, SJ
|
| 刊名 | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
 |
| 出版日期 | 2005-04-01 |
| 卷号 | 57期号:2页码:513-521 |
| 关键词 | Riemann zeta function approximate functional equation mean value |
| ISSN号 | 0025-5645 |
| 英文摘要 | In a recent paper, Isao Kiuchi and Naoki Yanagisawa studied the even power moments of the error term in the approximate functional equation for zeta(s). They got a mean value formula with an error term O(T1/2-k sigma), and then they conjecture that this term could be replaced by E-k,E-sigma T1/2-k sigma (1 + o(1)) with constant E-k,E-sigma depending on k and sigma. In this paper, we disprove this conjecture by showing that the error term should be f(T)T1/2-k sigma + o(T1/2-k sigma) with f (T) oscillating. |
| 语种 | 英语 |
| WOS记录号 | WOS:000228886000008 |
| 出版者 | MATH SOC JAPAN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1853]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Feng, SJ |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Feng, SJ. On a mean value formula for the approximate functional equation of zeta(s) in the critical strip[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,2005,57(2):513-521. |
| APA | Feng, SJ.(2005).On a mean value formula for the approximate functional equation of zeta(s) in the critical strip.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,57(2),513-521. |
| MLA | Feng, SJ."On a mean value formula for the approximate functional equation of zeta(s) in the critical strip".JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 57.2(2005):513-521. |
入库方式： OAI收割
来源：数学与系统科学研究院
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