Kloosterman sums with multiplicative coefficients
文献类型：期刊论文
| 作者 | Gong Ke1; Jia ChaoHua2,3
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2016-04-01 |
| 卷号 | 59期号:4页码:653-660 |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-015-5108-z |
| 英文摘要 | Let f(n) be a multiplicative function satisfying vertical bar f(n)vertical bar <= 1, q (<= N-2) be a positive integer and a be an integer with (a, q) = 1. In this paper, we shall prove that Sigma(n <= N (n, q)=1) f(n)e(a (n) over bar /q) << root tau(q)/q N log log (6N) + q(1/4) (+) (epsilon/2) N-1/2 + N/root log log (6N), where (n) over bar is the multiplicative inverse of n such that (n) over barn = 1 ( mod q), e(x) = exp(2 pi ix), and tau(.) is the divisor function. |
| 资助项目 | National Natural Science Foundation of China[11201117] ; National Natural Science Foundation of China[11126150] ; National Natural Science Foundation of China[11371344] ; National Natural Science Foundation of China[11321101] ; National Key Basic Research Program of China[2013CB834202] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000372159900003 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22270]  |
| 专题 | 数学所 |
| 通讯作者 | Jia ChaoHua |
| 作者单位 | 1.Henan Univ, Dept Math, Kaifeng 475004, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gong Ke,Jia ChaoHua. Kloosterman sums with multiplicative coefficients[J]. SCIENCE CHINA-MATHEMATICS,2016,59(4):653-660. |
| APA | Gong Ke,&Jia ChaoHua.(2016).Kloosterman sums with multiplicative coefficients.SCIENCE CHINA-MATHEMATICS,59(4),653-660. |
| MLA | Gong Ke,et al."Kloosterman sums with multiplicative coefficients".SCIENCE CHINA-MATHEMATICS 59.4(2016):653-660. |
入库方式： OAI收割
来源：数学与系统科学研究院
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