The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On a sum analogous to Dedekind sum and its mean square value formula.”

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

Tingting Wang, Wenpeng Zhang (2013)

Czechoslovak Mathematical Journal

Similarity:

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...

An identity involving Dedekind sums and generalized Kloosterman sums

Le Huan, Jingzhe Wang, Tingting Wang (2012)

Czechoslovak Mathematical Journal

Similarity:

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...