Geodesic
A hybrid mean value of the Dedekind sums
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1055-1063.

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The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.
Classification : 11F20, 11L40, 11M20
Keywords: Dedekind sums; Dirichlet $L$-function; mean value 
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     author = {Yang, Hai},
     title = {A hybrid mean value of the {Dedekind} sums},
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     pages = {1055--1063},
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Yang, Hai. A hybrid mean value of the Dedekind sums. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1055-1063. http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a13/