Geodesic
An identity involving Dedekind sums and generalized Kloosterman sums
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 991-1001.

Voir la notice de l'article dans Czech Digital Mathematics Library

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 one kind of hybrid mean value involving Dedekind sums and generalized Kloosterman sums, and give an interesting identity.
DOI : 10.1007/s10587-012-0078-6
Classification : 11F20, 11L05, 11M20, 11N37
Mots-clés : Dedekind sum; Kloosterman sum; Dirichlet character; analytic method; Gauss sum; identity 
@article{10_1007_s10587_012_0078_6,
     author = {Huan, Le and Wang, Jingzhe and Wang, Tingting},
     title = {An identity involving {Dedekind} sums and generalized {Kloosterman} sums},
     journal = {Czechoslovak Mathematical Journal},
     pages = {991--1001},
     publisher = {mathdoc},
     volume = {62},
     number = {4},
     year = {2012},
     doi = {10.1007/s10587-012-0078-6},
     mrnumber = {3010252},
     zbl = {1259.11089},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0078-6/}
}
TY  - JOUR
AU  - Huan, Le
AU  - Wang, Jingzhe
AU  - Wang, Tingting
TI  - An identity involving Dedekind sums and generalized Kloosterman sums
JO  - Czechoslovak Mathematical Journal
PY  - 2012
SP  - 991
EP  - 1001
VL  - 62
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0078-6/
DO  - 10.1007/s10587-012-0078-6
LA  - en
ID  - 10_1007_s10587_012_0078_6
ER  - 
%0 Journal Article
%A Huan, Le
%A Wang, Jingzhe
%A Wang, Tingting
%T An identity involving Dedekind sums and generalized Kloosterman sums
%J Czechoslovak Mathematical Journal
%D 2012
%P 991-1001
%V 62
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0078-6/
%R 10.1007/s10587-012-0078-6
%G en
%F 10_1007_s10587_012_0078_6
Huan, Le; Wang, Jingzhe; Wang, Tingting. An identity involving Dedekind sums and generalized Kloosterman sums. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 991-1001. doi : 10.1007/s10587-012-0078-6. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0078-6/

Cité par Sources :