Abstract
Let χ be the Dirichlet character modulo q ⩾ 3 and L ( s , χ ) denote the corresponding Dirichlet L-function. The mean value of | L ′ L ( 1 , χ ) | 2 k is studied and a few asymptotic formulae are given. Hybrid mean value of L ′ L ( 1 , χ ) , general Kloosterman sums and general quadratic Gauss sums are considered.
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