On the mean value of Dedekind sum weighted by the quadratic Gauss sum

Title:

On the mean value of Dedekind sum weighted by the quadratic Gauss sum

Creator:

Wang, Tingting and Zhang, Wenpeng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:82672e8d-ec06-4ef8-a25f-c647ce7b5526
uuid:82672e8d-ec06-4ef8-a25f-c647ce7b5526

Subject:

Dedekind sum, quadratic Gauss sum, mean value, and identity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Various properties of classical Dedekind sums $S(h, q)$ have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic method to study the computational problem of one kind of mean value involving the classical Dedekind sum and the quadratic Gauss sum, and give several exact computational formulae for it.

Language:

English

Rights:

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

Coverage:

357-367

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:2

Harvested from:

CDK

Metadata only:

false