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Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions
Authors:Zhang Wenpeng
Institution:
  • a Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi, People's Republic of China
  • Abstract: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.
    Keywords:general quadratic Gauss sums  L-functions  asymptotic formula
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