A hybrid mean value of the Dedekind sums
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1055-1063
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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
Keywords: Dedekind sums; Dirichlet $L$-function; mean value
@article{CMJ_2010_60_4_a13,
author = {Yang, Hai},
title = {A hybrid mean value of the {Dedekind} sums},
journal = {Czechoslovak Mathematical Journal},
pages = {1055--1063},
year = {2010},
volume = {60},
number = {4},
mrnumber = {2738967},
zbl = {1224.11085},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a13/}
}
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/