Results 1 to 10 of about 40 (38)

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 ...
Liu, Xinyu, Zhang, Wenpeng
openaire   +4 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.
Huaning Liu, Wenpeng Zhang
openaire   +1 more source

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

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.
Lv, Xingxing, Zhang, Wenpeng
openaire   +4 more sources

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.
Djanković, Goran, Đokić, Dragan, Lelas, Nikola, Vrećica, Ilija   +3 more
openaire   +2 more sources

Rational points on complete intersections over Fq(t)${\mathbb {F}}_q(t)$

Proceedings of the London Mathematical Society, Volume 126, Issue 2, Page 556-619, February 2023., 2023
Abstract A 2‐dimensional version of Farey dissection for function fields K=Fq(t)$K=\mathbb {F}_q(t)$ is developed and used to establish the quantitative arithmetic of the set of rational points on a smooth complete intersection of two quadrics X⊂PKn−1$X\subset \mathbb {P}^{n-1}_{K}$, under the assumption that q$q$ is odd and n⩾9$n\geqslant 9$.
Pankaj Vishe
wiley   +1 more source

On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to Kloosterman sum and give two interesting identities for them.
Xiaoling Xu, Yuan Yi
wiley   +1 more source

A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we use the mean value theorem of Dirichlet L‐functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it.
Xiaowei Pan, Xiaoyan Guo, Tianping Zhang
wiley   +1 more source

Software for Genome‐Wide Association Studies in Autopolyploids and Its Application to Potato

The Plant Genome, Volume 9, Issue 2, July 2016., 2016
Genome‐wide association studies (GWAS) are widely used in diploid species to study complex traits in diversity and breeding populations, but GWAS software tailored to autopolyploids is lacking. The objectives of this research were to (i) develop an R package for autopolyploids based on the Q + K mixed model, (ii) validate the software with simulated ...
Umesh R. Rosyara, Walter S. De Jong, David S. Douches, Jeffrey B. Endelman   +3 more
wiley   +1 more source