Moments of generalized quadratic Gauss sums weighted by L-functions
Z Wenpeng - Journal of Number Theory, 2002 - Elsevier
Z Wenpeng
Journal of Number Theory, 2002•ElsevierMoments of Generalized Quadratic Gauss Sums Weighted by L -Functions Page 1 304 ⁄
0022-314X/02 $35.00 © 2002 Elsevier Science (USA) All rights reserved. Journal of Number
Theory 92, 304–314 (2002) doi:10.1006/jnth.2001.2715, available online at http://www.idealibrary.com
on Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions1 1 This work is
supported by the NSF and the PNSF of PR China. Zhang Wenpeng Research Center for Basic
Science, Xi’an Jiaotong University, Xi’an, Shaanxi, People’s Republic of China Communicated …
0022-314X/02 $35.00 © 2002 Elsevier Science (USA) All rights reserved. Journal of Number
Theory 92, 304–314 (2002) doi:10.1006/jnth.2001.2715, available online at http://www.idealibrary.com
on Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions1 1 This work is
supported by the NSF and the PNSF of PR China. Zhang Wenpeng Research Center for Basic
Science, Xi’an Jiaotong University, Xi’an, Shaanxi, People’s Republic of China Communicated …
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.
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