An identity involving Dedekind sums and generalized Kloosterman sums

Huan, Le, Wang, Jingzhe, and Wang, Tingting. "An identity involving Dedekind sums and generalized Kloosterman sums." Czechoslovak Mathematical Journal 62.4 (2012): 991-1001. <http://eudml.org/doc/246310>.

@article{Huan2012,
abstract = {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.},
author = {Huan, Le, Wang, Jingzhe, Wang, Tingting},
journal = {Czechoslovak Mathematical Journal},
keywords = {Dedekind sum; Kloosterman sum; Dirichlet character; analytic method; Gauss sum; identity; Dedekind sum; Kloosterman sum; Dirichlet character; analytic method; Gauss sum},
language = {eng},
number = {4},
pages = {991-1001},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An identity involving Dedekind sums and generalized Kloosterman sums},
url = {http://eudml.org/doc/246310},
volume = {62},
year = {2012},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 4
SP - 991
EP - 1001
AB - 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.
LA - eng
KW - Dedekind sum; Kloosterman sum; Dirichlet character; analytic method; Gauss sum; identity; Dedekind sum; Kloosterman sum; Dirichlet character; analytic method; Gauss sum
UR - http://eudml.org/doc/246310
ER -