| Some Identities Involving Certain Hardy Sums and Ramanujan Sum |
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| 引用本文： | HongYanLIU WenPengZHANG. Some Identities Involving Certain Hardy Sums and Ramanujan Sum[J]. 数学学报(英文版), 2005, 21(1): 109-116. DOI: 10.1007/s10114-004-0345-z |
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| 作者姓名： | HongYanLIU WenPengZHANG |
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| 作者单位： | [1]DepartmentofMathematics,NorthwestUniversity,Xi＇an710069,P.R.China [2]DepartmentofMathematics,NorthwestUniversity,Xi＇an710069,P.R.China／／DepartmentofAppliedMathematics,Xi＇anUniversityofTechnology,Xi＇an710048,P.R.China |
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| 摘 要： | The main purpose of this paper is, using the mean-value theorem of Dirichlet 1-functions, to study the distribution properties of the hybrid mean value involving certain Hardy sums and Ramanujan sum, and give four interesting identities.
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| 关 键 词： | 一般哈迪和 拉曼和 自然数 模式变换 级数 |
| 收稿时间： | 2001-12-28 |
Some Identities Involving Certain Hardy Sums and Ramanujan Sum |
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| Hong Yan Liu,Wen Peng Zhang. Some Identities Involving Certain Hardy Sums and Ramanujan Sum[J]. Acta Mathematica Sinica(English Series), 2005, 21(1): 109-116. DOI: 10.1007/s10114-004-0345-z |
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| Authors: | Hong Yan Liu Wen Peng Zhang |
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| Affiliation: | (1) Department of Mathematics, Northwest University, Xi’an 710069, P. R. China;(2) Department of Applied Mathematics, Xi’an University of Technology, Xi’an 710048, P. R. China |
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| Abstract: | The main purpose of this paper is, using the mean-value theorem of Dirichlet l-functions, to study the distribution properties of the hybrid mean value involving certain Hardy sums and Ramanujan sum, and give four interesting identities. This work is supported by the NSF (10271093) and the PNSF of P. R. China |
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| Keywords: | Certain Hardy sums Ramanujan sum Hybrid mean value Identities |
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