A hybrid mean value of the Dedekind sums

Hai Yang

Displaying similar documents to “A hybrid mean value of the Dedekind sums”

On the $2 k$ -th power mean of $\frac{L^{'}}{L} (1, χ)$ with the weight of Gauss sums

Dongmei Ren, Yuan Yi (2009)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to study the hybrid mean value of $\frac{L^{'}}{L} (1, χ)$ and Gauss sums by using the estimates for trigonometric sums as well as the analytic method. An asymptotic formula for the hybrid mean value $\sum_{χ \neq χ_{0}} | τ (χ) | | \frac{L^{'}}{L} {(1, χ) |}^{2 k}$ of $\frac{L^{'}}{L}$ and Gauss sums will be proved using analytic methods and estimates for trigonometric sums.

A hybrid mean value related to certain Hardy sums and Kloosterman sums

Xiaoyan Guo, Wenpeng Zhang (2011)

Czechoslovak Mathematical Journal

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The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.