Shifted character sums with multiplicative coefficients, II

doi:10.1016/j.jnt.2017.02.006

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	Shifted character sums with multiplicative coefficients, II
	Gong, K.1; Jia, C.2,3,4 ; Korolev, M. A.5
刊名	JOURNAL OF NUMBER THEORY
	2017-09-01
卷号	178 页码:31-39
关键词	Character sum Multiplicative function
ISSN号	0022-314X
DOI	10.1016/j.jnt.2017.02.006
英文摘要	Let f(n) be a multiplicative function with vertical bar f(n)vertical bar <= 1, q be a prime number and a be an integer with (a, q) = 1, chi be a non-principal Dirichlet character modulo q. Let epsilon be a sufficiently small positive constant, A be a large constant, q(1/2+epsilon) << N << q(A). In this paper, we shall prove that Sigma(n <= N) f(n)chi(n + a) << N log log q/log q and that Sigma(n <= N) f(n)chi(n + a(1)) . . . chi(n + a(t)) << N log log q/log q, where t >= 2, a(1), . . . , a(t) are distinct integers modulo q. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11671119] ; National Natural Science Foundation of China[11371344] ; National Natural Science Foundation of China[11321101] ; National Key Basic Research Program of China[2013CB834202] ; Russian Science Foundation[14-11-00433]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000401687300005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25354]
专题	数学所
通讯作者	Jia, C.
作者单位	1.Henan Univ, Dept Math, Kaifeng 475004, Henan, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Russian Acad Sci, Steklov Math Inst, Gubkina Str 8, Moscow 119991, Russia
推荐引用方式 GB/T 7714	Gong, K.,Jia, C.,Korolev, M. A.. Shifted character sums with multiplicative coefficients, II[J]. JOURNAL OF NUMBER THEORY,2017,178:31-39.
APA	Gong, K.,Jia, C.,&Korolev, M. A..(2017).Shifted character sums with multiplicative coefficients, II.JOURNAL OF NUMBER THEORY,178,31-39.
MLA	Gong, K.,et al."Shifted character sums with multiplicative coefficients, II".JOURNAL OF NUMBER THEORY 178(2017):31-39.