中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A logarithm type mean value theorem of the Riemann zeta function

文献类型:期刊论文

作者Ding, Xia-Qi; Feng, Shao-Ji
刊名JOURNAL OF NUMBER THEORY
出版日期2006-10-01
卷号120期号:2页码:206-212
关键词Riemann zeta function mean value theorem logarithm
ISSN号0022-314X
DOI10.1016/j.jnt.2005.12.007
英文摘要For any integer K >= 2 and positive integer h, we investigate the mean value of vertical bar zeta(sigma + it)vertical bar(2k) x log(h) vertical bar zeta(sigma + it)vertical bar for all real number 0 < k < K and all sigma > 1 - 1/K. In case K = 2, h = 1, this has been studied by Wang in [F.T. Wang, A mean value theorem of the Riemann zeta function, Quart. J. Math. Oxford Ser. 18 (1947) 1-3]. In this note, we give a new brief proof of Wang's theorem, and, with this method, generalize it to the general case naturally. (c) 2006 Elsevier Inc. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000240839400002
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/2659]  
专题系统科学研究所
通讯作者Feng, Shao-Ji
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
Ding, Xia-Qi,Feng, Shao-Ji. A logarithm type mean value theorem of the Riemann zeta function[J]. JOURNAL OF NUMBER THEORY,2006,120(2):206-212.
APA Ding, Xia-Qi,&Feng, Shao-Ji.(2006).A logarithm type mean value theorem of the Riemann zeta function.JOURNAL OF NUMBER THEORY,120(2),206-212.
MLA Ding, Xia-Qi,et al."A logarithm type mean value theorem of the Riemann zeta function".JOURNAL OF NUMBER THEORY 120.2(2006):206-212.

入库方式: OAI收割

来源:数学与系统科学研究院

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