Special Issue "Algebra, Number Theory, Combinatorics and Their Applications: Mathematical Theory and Computational Modelling"

Submission Deadline: 28 February 2022
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Guest Editors
Prof. Taekyun Kim, Kwangwoon University, Korea
Prof. Dae San Kim, Sogang University, Korea
Prof. Lee-Chae Jang, Konkuk University, Korea

Summary

Historically, computation has been a driving force in the development of mathematics. To help measure the sizes of their fields, the Egyptians invented geometry. To help predict the positions of the planets, the Greeks invented trigonometry. Algebra was invented to deal with equations that arose when mathematics was used to model the world.

In order to solve these equations of algebra, computational modelling in number theory arose. In particular, Mathematical and computational modelling in number theory have been applied in engineering, science and medicine to study phenomena at a wide range of size scales. In pure mathematics we also compute, and many of our great theorems and conjectures are, at root, motivated by computational experience.

Thanks to advances in computers, many problems in science and engineering can be modeled by polynomial optimization. We aim to design this special issue for researchers with interesting mathematical and computational modelling in Number theory, algebra, and combinatorics. This special issue aims to present theories, methods, and applications of recent/current mathematical and computational modelling related to number theory in various areas.

Each paper published in this special issue aims to enrich the understanding of current research problems, theories, and applications on the chosen topics. The emphasis will be to present the basic developments concerning an idea in full detail, and also contain the most recent advances made in the area of mathematical theory and computational modelling related to number theory.

 

Potential topics include but are not limited to the following:

 

• Mathematical and computational modelling in Number theory

• Computational modeling related to degenerate functions and polynomials

• Properties and theories to degenerate umbral and umbral calculus

• Analytical properties and applications of polylogarithm and polyexponential functions

• Applications of degenerate polylogarithmic and polyexponential functions.

• Random variables and degenerate Poisson random variable

related to computational modeling

• p-adic q-integral on Zp related to Special numbers and polynomials

• Properties of ordinary and general families of Special Polynomials

• Multiple zeta functions

• Operational techniques involving Special Polynomials...etc


Keywords
Laguerre polynomials, degenerate Poisson random variable, degenerate Bernstein polynomials, computational modelling in number theory, Dowling lattice, r-truncated Poisson random variables, degenerate binomial random variable, umbral calculus, degenerate umbral calculus, polyexponential function, degenerate poly-Bernoulli polynomials.