Kloosterman sums with multiplicative coefficients

doi:10.1007/s11425-015-5108-z

CSpace > 数学所

	Kloosterman sums with multiplicative coefficients
	Gong Ke 1; Jia ChaoHua2,3
	2016-04-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	59 期号:4 页码:653-660
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.
DOI	10.1007/s11425-015-5108-z
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000372159900003
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22271
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.