Displaying similar documents to “On the mean value of Dedekind sum weighted by the quadratic Gauss sum”

An identity involving Dedekind sums and generalized Kloosterman sums

Le Huan, Jingzhe Wang, Tingting Wang (2012)

Czechoslovak Mathematical Journal

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The various properties of classical Dedekind sums S ( h , q ) have been investigated by many authors. For example, Yanni Liu and Wenpeng Zhang: A hybrid mean value related to the Dedekind sums and Kloosterman sums, Acta Mathematica Sinica, 27 (2011), 435–440 studied the hybrid mean value properties involving Dedekind sums and generalized Kloosterman sums K ( m , n , r ; q ) . The main purpose of this paper, is using the analytic methods and the properties of character sums, to study the computational problem of...

On the mean value of a sum analogous to character sums over short intervals

Ren Ganglian, Zhang Wenpeng (2008)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to study the mean value properties of a sum analogous to character sums over short intervals by using the mean value theorems for the Dirichlet L-functions, and to give some interesting asymptotic formulae.

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.

A note on the mean value of the general Kloosterman sums

Weili Yao (2011)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.