Results 41 to 50 of about 1,483,300 (312)

The fourth power mean value of one kind two-term exponential sums

AIMS Mathematics, 2022
In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and ...
Jinmin Yu, Renjie Yuan , Tingting Wang
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The hybrid power mean of the quartic Gauss sums and the two-term exponential sums

Advances in Difference Equations, 2018
In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear ...
Xiaoxue Li
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A certain two-term exponential sum and its fourth power means

AIMS Mathematics, 2020
The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula ...
Zhang Jin, Zhang Wenpeng
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On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo p

AIMS Mathematics, 2021
The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol ...
Wenpeng Zhang, Yuanyuan Meng
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Limit curves for zeros of sections of exponential integrals [PDF]

, 2014
We are interested in studying the asymptotic behavior of the zeros of partial sums of power series for a family of entire functions defined by exponential integrals.
Vargas, Antonio R.
core   +1 more source

On the sixth power mean values of a generalized two-term exponential sums

AIMS Mathematics, 2023
This paper examines the evaluations of sixth power mean values of a generalized two-term exponential sums. In the case $ p\equiv 3\bmod 4 $, we try to establish two precise formulas by applying the properties of character sums and the number of the ...
Shujie Zhou, Li Chen
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Estimates for exponential sums [PDF]

Proceedings of the American Mathematical Society, 1980
If f is a polynomial over Z of degree n + 1 n + 1 with n ⩾ 1 n \geqslant 1 , then for each integer q ⩾ 1 , | Σ 1 ⩽ x ⩽
openaire   +1 more source

Decoupling, exponential sums and the Riemann zeta function [PDF]

, 2014
We establish a new decoupling inequality for curves in the spirit of [B-D1], [B-D2] which implies a new mean value theorem for certain exponential sums crucial to the Bombieri-Iwaniec method as developed further in [H].
J. Bourgain
semanticscholar   +1 more source

Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers [PDF]

Compositio Mathematica, 2014
We investigate exponential sums over those numbers ${\leqslant}x$ all of whose prime factors are ${\leqslant}y$. We prove fairly good minor arc estimates, valid whenever $\log ^{3}x\leqslant y\leqslant x^{1/3}$.
Adam J. Harper
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The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums

Mathematics
In this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
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