Manuscript Topics

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, the 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 an interest in mathematical and computational methods in Number theory, algebra and combinatorics. This special issue aims to present theory, methods, and applications of recent/current mathematical and computational methods related to number theory in various area.

Proposal Topics
Each paper that will be published in this special issue aims at enriching 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 its applications related to number theory.
Potential topics include but are not limited to the following:
• Normal ordering of degenerate integral powers of number operator and its applications
• Combinatorial identities involving degenerate harmonic and hyperharmonic numbers
• Properties and theories to degenerate umbral and umbral calculus
• Degenerate Whitney numbers of first and second kind of Dowling lattices
• Applications of degenerate polylogarithmic and polyexponential functions
• Polyexponential and unipoly functions and their applications
• Degenerate Laplace transform and degenerate gamma function
• 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
• Degenerate multiple zeta function
• Operational techniques involving Special Polynomials...etc

Key Words
• Laguerre polynomials
• Degenerate Poisson random variable
• Degenerate Bernstein polynomials
• Normal ordering problems
• Whitney numbers of Dowling lattices
• Degenerate harmonic and hyperharmonic numbers
• r-truncated Poisson random variables
• Degenerate binomial random variable
• Umbral calculus
• Degenerate umbral calculus
• Polyexponential function
• Unipoly functions

Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/