Journal of Mathematics

Classical Problems in Algebra and Number Theory


Publishing date
01 Apr 2022
Status
Closed
Submission deadline
26 Nov 2021

Lead Editor

1Northwest University, Xi'an, China

2Xi'an Jiaotong University, Xi'an, China

3Northwest A&F University, Yangling, China

4Universite Paris-Est Creteil, Creteil, France

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

Classical Problems in Algebra and Number Theory

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

Description

Algebra and number theory are two essential research areas of fundamental mathematics. These fields have important theoretical significance and research value. Therefore, it is necessary to conduct in-depth and systematic research in these fields. For example, in the past, many researchers only studied the power mean of the exponential sums for special modulo, an odd prime. Problems that are now considered are composite modulo, or the power mean of character sums for special modulo.

This Special Issue aims to focus on some classical algebra and number theory problems (e.g., modules and ideals, rings with polynomial identity, quadratic residues, primitive roots, upper bound, and mean value estimations for various exponential sums and character sums, etc). We hope that this Special Issue also highlights new research progress discussing high-th power mean of the character sums analogous to high dimensional Kloosterman sums. Moreover, submissions mentioning sharp asymptotic formulae for the power mean of the special exponential sums are encouraged.

Potential topics include but are not limited to the following:

  • Modules, ideals, and rings with a polynomial identity
  • Representation theory of rings and algebras
  • Character sums and their various properties
  • Dedekind sums and related problems
  • Exponential sums and their high-th power mean
  • Prime distributions
  • Quadratic residues and primitive roots
  • Riemann, Hurwitz, and Lerch zeta functions
  • Goldbach and Waring problems

Articles

  • Special Issue
  • - Volume 2022
  • - Article ID 2917943
  • - Research Article

Degenerate Poly-Lah-Bell Polynomials and Numbers

Taekyun Kim | Hye Kyung Kim
  • Special Issue
  • - Volume 2022
  • - Article ID 6108863
  • - Research Article

Unique Generators for Cyclic Codes of Arbitrary Length over and Their Applications

Hongju Li | Ping Yu | ... | Feng Zhao
  • Special Issue
  • - Volume 2022
  • - Article ID 2339851
  • - Research Article

Representation by Degenerate Genocchi Polynomials

Taekyun Kim | Dae San Kim | ... | Seong-Ho Park
  • Special Issue
  • - Volume 2022
  • - Article ID 1173362
  • - Research Article

Some Algebraic Properties of the Wilson Loop

Han Li | M. Nadeem | ... | H. Mutee ur Rehman
  • Special Issue
  • - Volume 2021
  • - Article ID 8002211
  • - Research Article

The Maximal Difference of Different Powers of an Element Modulo

Jinyun Qi | Zhefeng Xu
  • Special Issue
  • - Volume 2021
  • - Article ID 5255880
  • - Research Article

Exceptional Sets for Sums of Prime Cubes in Short Interval

Gongrui Chen
  • Special Issue
  • - Volume 2021
  • - Article ID 9693218
  • - Research Article

Waring–Goldbach Problem of Even Powers in Short Intervals

Liqun Hu | Tanhui Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 7167633
  • - Research Article

Construction of Type 2 Poly-Changhee Polynomials and Its Applications

Ghulam Muhiuddin | Waseem Ahmad Khan | Jihad Younis
  • Special Issue
  • - Volume 2021
  • - Article ID 3303476
  • - Research Article

On a Diophantine Inequality with Primes

Xiaofei Yan | Lu Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 7003549
  • - Research Article

A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums

Jiayuan Hu | Yu Zhan | Qin Si
Journal of Mathematics
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Acceptance rate41%
Submission to final decision45 days
Acceptance to publication26 days
CiteScore0.900
Journal Citation Indicator1.000
Impact Factor1.555
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.