Czechoslovak Mathematical Journal, Vol. 62, No. 4, pp. 991-1001, 2012

An identity involving Dedekind sums and generalized Kloosterman sums

Le Huan, Jingzhe Wang, Tingting Wang

Le Huan, Jingzhe Wang, Tingting Wang, Department of Mathematics, Northwest University, Xi'an, Shaanxi, P. R. China, e-mail: tingtingwang126@126.com

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.

Keywords: Dedekind sum, Kloosterman sum, Dirichlet character, analytic method, Gauss sum, identity

Classification (MSC 2010): 11M20


Full text available as PDF.

Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade. To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer need to access the articles on their site, which is http://www.springeronline.com/10587.


[Previous Article] [Next Article] [Contents of This Number] [Contents of Czechoslovak Mathematical Journal]