Moments of generalized quadratic Gauss sums weighted by L-functions

被引:46
作者
Zhang, WP [1 ]
机构
[1] Xian Jiaotong Univ, Res Ctr Basic Sci, Xian 710049, Shaanxi, Peoples R China
关键词
general quadratic Gauss sums; L-functions; asymptotic formula;
D O I
10.1006/jnth.2001.2715
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main purpose of this paper is using estimates for character sums and analytic methods to study the second, fourth, and sixth order moments of generalized quadratic Gauss sums weighted by L-functions, Three asymptotic formulae are obtained. (C) 2002 Elsevier Science (USA).
引用
收藏
页码:304 / 314
页数:11
相关论文
共 9 条
[1]  
[Anonymous], 1979, Introduction to number theory
[2]  
Apostol TM., 1998, INTRO ANAL NUMBER TH
[3]  
Burgess D.A., 1962, P LOND MATH SOC, V12, P193, DOI [DOI 10.1112/PLMS/S3-12.1.193, 10.1112/plms/s3-12.1.193]
[4]  
Chowla S., 1967, Norkse Vid. Selbsk. Fak. Frondheim, V40, P70
[5]  
Cochrane T, 1999, ACTA ARITH, V91, P249
[6]  
JIANHUA R, 1990, J SICHUAN U NAT SCI, V26, P75
[7]  
Vaughan R.C., 1981, RECENT PROGR ANAL NU, V1, P341
[8]  
WEIL A, 1948, P NATL ACAD SCI USA, V34, P203
[9]  
WENPENG Z, 1993, CHINESE J CONT MATH, V14, P1