Results 121 to 130 of about 185 (158)

On the high-th power mean of one kind general Kloosterman sums

, 2017
Jiayuan Hu, Wenpeng Zhang
core   +1 more source

Bilinear forms with Kloosterman sums and applications

Annals of Mathematics, 2017
We prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods (Polya-Vinogradov range).
Emmanuel Kowalski, Philippe Michel, Will Sawin   +2 more
exaly   +2 more sources

Identities of general Kloosterman sums

International Journal of Number Theory, 2023
Let [Formula: see text] be any integers with [Formula: see text], and [Formula: see text] be a Dirichlet character modulo [Formula: see text]. The general Kloosterman sums [Formula: see text] are defined as follows: [Formula: see text] where [Formula: see text], and [Formula: see text] denotes the multiplicative inverse of [Formula: see text] modulo ...
Xiaoge Liu, Tianping Zhang
openaire   +1 more source

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

A generalization of power moments of Kloosterman sums

Archiv Der Mathematik, 2007
We find an expression for a sum which can be viewed as a generalization of power moments of Kloosterman sums studied by Kloosterman and Salie.
Dae San Kim, Kim Dae San
exaly   +2 more sources

On the General Kloosterman Sums

Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On a generalization of Kloosterman sums

Mathematical Notes, 2015
For integers \(u, v, w\) and natural numbers \(q\), \(d\) with \(d\mid q\). We define \[ K_{q,d}\left(u, v; w\right)=\mathop{\mathop{\sum_{z=1}^{q}}_{(z,q)=1}}_{z\equiv w \;(\bmod d)} e\left(\frac{uz+vz^{-1}}{q}\right), \] where \(e(x)=\text{e}^{2\pi ix}\).
openaire   +1 more source

Generalized Kloosterman sum with primes

Proceedings of the Steklov Institute of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source