An identity involving Dedekind sums and generalized Kloosterman sums

Title:

An identity involving Dedekind sums and generalized Kloosterman sums

Creator:

Huan, Le, Wang, Jingzhe, and Wang, Tingting

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:165f0d9d-f9d2-4c56-8a25-d252adbee524
uuid:165f0d9d-f9d2-4c56-8a25-d252adbee524

Subject:

Dedekind sum, Kloosterman sum, Dirichlet character, analytic method, Gauss sum, and identity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

991-1001

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:4

Harvested from:

CDK

Metadata only:

false