Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
The hybrid power mean of quartic Gauss sums and Kloosterman sums
View through CrossRef
Abstract
The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
Title: The hybrid power mean of quartic Gauss sums and Kloosterman sums
Description:
Abstract
The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
Related Results
On the Hybrid Mean Value Involving Dedekind Sums and Kloosterman Sums
On the Hybrid Mean Value Involving Dedekind Sums and Kloosterman Sums
Abstract
The main purpose of this paper is using the analytic methods and the estimation of Dirichlet character of polynomials to study the asymptotic properties of ...
Identities of incomplete Kloosterman sums
Identities of incomplete Kloosterman sums
Identities between incomplete Kloosterman sums and incomplete hyper-Kloosterman sums are established....
Carl Friedrich Gauss
Carl Friedrich Gauss
At an early age, Gauss showed unusual ability in mathematics. In fact, some say that he was only three when he corrected his father's calculations of the pay due men working under ...
The Gauss–Bonnet theorem
The Gauss–Bonnet theorem
The Gauss–Bonnet theorem is a crowning result of surface theory that gives a fundamental connection between geometry and topology. Roughly speaking, geometry refers to the “local” ...
Nanogold and nanosilver hybrid polymer materials
Nanogold and nanosilver hybrid polymer materials
<p>Significant opportunities exist in both the scientific and industrial sectors for the development of new generation hybrid materials. These multifunctional hybrid material...
Kloosterman sums on orthogonal groups
Kloosterman sums on orthogonal groups
Abstract
We study Kloosterman sums on the orthogonal groups
$$SO_{3,3}$$
S
...
Sums of Kloosterman sums in the prime geodesic theorem
Sums of Kloosterman sums in the prime geodesic theorem
Abstract
We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate...
Degrees of generalized Kloosterman sums
Degrees of generalized Kloosterman sums
Abstract
The modern study of the exponential sums is mainly about their analytic estimates as complex numbers, which is local. In this paper, we study one global pro...