Results 1 to 10 of about 25 (21)

On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums [PDF]

Mathematics, 2019
The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the generalized Gauss sums and generalized Kloosterman sums, and to give two exact computational formulae for ...
Wenpeng Zhang
exaly   +3 more sources

HYBRID MEAN VALUE OF GENERALIZED BERNOULLI NUMBERS, GENERAL KLOOSTERMAN SUMS AND GAUSS SUMS [PDF]

Journal of the Korean Mathematical Society, 2007
The main purpose of this paper is to use the properties of primitive characters, Gauss sums and Ramanujan’s sum to study the hybrid mean value of generalized Bernoulli numbers, general Kloosterman sums and Gauss sums, and give two asymptotic formulae.
Wenpeng Zhang, Huaning Liu
exaly   +2 more sources

Finite Fourier Series and Cyclotomy. [PDF]

Proc Natl Acad Sci U S A, 1951
Whiteman AL.
europepmc   +1 more source

The shifted convolution problem in function fields. [PDF]

Math Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*

Lithuanian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Göran Djanković, Nikola Lelas
exaly   +3 more sources

A new hybrid power mean involving the generalized quadratic Gauss sums and sums analogous to Kloosterman sums *

Lithuanian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xingxing Lv, Wenpeng Zhang
exaly   +3 more sources

ON THE r-TH HYPER-KLOOSTERMAN SUMS AND ITS HYBRID MEAN VALUE

Journal of the Korean Mathematical Society, 2006
Tianping Zhang, Wenpeng Zhang
exaly  

A sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate

Journal of Inequalities and Applications, 2013
Di Han
exaly  

Modular hyperbolas and bilinear forms of Kloosterman sums

Journal of Number Theory, 2021
exaly  

Mean value of some exponential sums and applications to Kloosterman sums

Journal of Mathematical Analysis and Applications, 2010
Huaning Liu
exaly