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On the mean value of
Authors:Huaning Liu  Xiaobeng Zhang
Institution:Department of Mathematics, Northwest University, Xi'an, Shaanxi, PR China
Abstract:Let χ be the Dirichlet character modulo qgreater-or-equal, slanted3 and L(s,χ) denote the corresponding Dirichlet L-function. The mean value of View the MathML source is studied and a few asymptotic formulae are given. Hybrid mean value of View the MathML source, general Kloosterman sums and general quadratic Gauss sums are considered.
Keywords:Dirichlet L-functions  Kloosterman sums  Quadratic Gauss sums
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