Results 211 to 220 of about 138,881 (237)

THE HYBRID POWER MOMENT OF CHARACTER SUMS AND TWO-TERM EXPONENTIAL SUMS

JP Journal of Algebra, Number Theory and Applications
This paper focuses on the investigation of the hybrid power mean concerning some special character sums of polynomials and the two-term exponential sums by utilizing analytical approaches and the nature of Gauss sums to give two sharp asymptotic formulae for them.
Xuan Wang
openaire   +3 more sources

On the Dedekind sums and two-term exponential sums

Chinese Annals of Mathematics, Series B, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Di, Wang, Tingting
openaire   +2 more sources

On the hybrid mean value of two-term exponential sums and character sums of polynomials

Lithuanian Mathematical Journal
For \(q,m,n,u,v\) positive integers with \(q\geq 3\) and \(u>v\), the two term exponential sums of \(u\) degree is defined by \[ C(m, n, u, v; q) := \sum_{\substack{a=1 \\ (a,q)=1}}^{q} e\left(\frac{ma^u + na^v}{q}\right). \] With \(M,N\) positive integers, \(\chi\) any Dirichlet character modulo \(q\), and \(f\) a polynomial (over \(\mathbb{Z}\)), the
Sun, Zhangrui, Han, Di
openaire   +3 more sources

A note on fourth power mean of the general two-term exponential sums

Mathematical Reports
Let $q$, $m$, $n$ be any integer with $q\ge 3$, and $\lambda$ a Dirichlet character $\bmod $ $q$. An explicit formula for the fourth power mean $$ \mathop{\sum}_{{m=1}\atop{(m,q)=1}}^{q} \biggl| \mathop{\sum}_{a=1}^{q} \lambda(a) e\biggl( \frac{ma^3+na}{q} \biggr) \biggr|^4 $$ is derived.
Mu, Yaya, Zhang, Tianping
openaire   +3 more sources

The mean value involving Dedekind sums and two-term exponential sums

Science China Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Tingting, Pan, Xiaowei
openaire   +2 more sources

ON TWO-TERM EXPONENTIAL SUMS AND A NEW FIFTH POWER MEAN

JP Journal of Algebra Number Theory and Applications
The primary aim of this paper is to study the problem of a new fifth power mean of the two-term exponential sums. By employing elementary methods, the number of solutions to a few congruence equations is obtained.
Yating Du
semanticscholar   +1 more source

New identities involving certain Hardy sums and two-term exponential sums

Indian journal of pure and applied mathematics, 2022
M. C. Dağlı
semanticscholar   +1 more source

A new two-term exponential sums and its fourth power mean

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
Xuexia Wang, Wang Li
semanticscholar   +1 more source

Classification by ordinal sums of conjunctive and disjunctive functions for explainable AI and interpretable machine learning solutions

Knowledge-Based Systems, 2021
Miroslav Hudec, Anna Saranti, Andreas Holzinger   +2 more
exaly  

Total internal partition sums for the HITRAN2020 database

Journal of Quantitative Spectroscopy and Radiative Transfer, 2021
Robert R Gamache, Bastien Vispoel, Michaël Rey   +2 more
exaly