Journal of Mathematics

Applications of Exponential Sums and Character Sums


Publishing date
01 Sep 2021
Status
Closed
Submission deadline
23 Apr 2021

Lead Editor

1Northwest University, Xi’an, China

2Shaanxi Normal University, Xi’an, China

3Northwest A&F University, Yangling, China

4Universite Paris-Est Creteil, Créteil, France

This issue is now closed for submissions.
More articles will be published in the near future.

Applications of Exponential Sums and Character Sums

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Exponential sums and character sums play vital roles in the analytic number theory studies. Many famous number theory problems are closely related to them. Therefore, it is necessary to conduct in-depth research in these fields.

In the past, many people only studied the power mean of the exponential sums for the prime modulo p. The issue now considered is the power mean problem of the composite modulo q. Some scholars have previously studied the fourth power mean of the exponential sum and character sums. Nowadays, we consider the more general 2k-th power mean with k≥ 3.

The aim of this special issue is to solicit original research articles, as well as review articles, obtaining some exact calculating formulas or sharp asymptotic formulas for the high-th power mean of various exponential sums and character sums. This special issue also hopes to focus on the upper bound estimation, and recurrence properties. Furthermore, submissions addressing the high-th power mean of various exponential sums, the upper bound estimation, application of character sums, and the mean value of the Dedekind sums are also welcome.

Potential topics include but are not limited to the following:

  • Gauss sums and Kloosterman sums
  • Exponential sums and its power mean
  • Upper bound estimations and applications of character sums
  • Sums over primes
  • Dedekind sums
  • Primitive roots and k-th residues
  • Hurwitz and Lerch zeta functions
  • Other Dirichlet series and zeta functions

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 6638156
  • - Research Article

On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums

Shaofan Cao | Tingting Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 4101782
  • - Research Article

The Legendre’s Symbol Modulo and Its Some Elementary Results

Jianghua Li | Yuan Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 6672532
  • - Research Article

Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values

Yuan He | Zhuoyu Chen
  • Special Issue
  • - Volume 2021
  • - Article ID 6673594
  • - Research Article

One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums

Xiaoxue Li | Li Chen
  • Special Issue
  • - Volume 2021
  • - Article ID 5535887
  • - Research Article

Autocorrelation and Linear Complexity of Binary Generalized Cyclotomic Sequences with Period pq

Yan Wang | Liantao Yan | ... | Liping Ding
  • Special Issue
  • - Volume 2021
  • - Article ID 9928233
  • - Research Article

Divisor Problems Related to Hecke Eigenvalues in Three Dimensions

Jing Huang | Huafeng Liu
  • Special Issue
  • - Volume 2021
  • - Article ID 5572835
  • - Research Article

On a Certain Quadratic Character Sums of Ternary Symmetry Polynomials

Yuanyuan Meng
  • Special Issue
  • - Volume 2021
  • - Article ID 9972104
  • - Research Article

The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums

Zhang Jin | Zhang Jiafan
  • Special Issue
  • - Volume 2021
  • - Article ID 5574465
  • - Research Article

On a Sum Involving the Sum-of-Divisors Function

Feng Zhao | Jie Wu
  • Special Issue
  • - Volume 2021
  • - Article ID 5515014
  • - Research Article

A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums

Lan Qi | Xingxing Lv
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
Journal Citation Indicator0.690
Impact Factor0.971
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