|| Special Issue || Polygonal and Figurate Numbers

 

 

 

Deadline for Submissions: 31 January 2024

 

 

 

Special Issue Editors

 

 

 

Guest Editor

Dr. Umit Sarp

E-mail 1

E-mail 2

Website

 

 

Affiliation

Izmir Katip Celebi University, Distance Education Application and Research Center, Izmir, Turkey

 

Interests

combinatorics; number theory; arithmetic functions; polygonal numbers; software and source codes for mathematics problems; iteration method for differential equation

 

 

 

Guest Editor

Dr. Ahmet Emin

E-mail

Website

            

 

 

Affiliation

Department of Mathematics, Faculty of Science, Karabuk University, Karabuk, Turkey

 

Interests

polygonal numbers; centered polygonal numbers; continued fractions; pell equations; Fibonacci and Lucas numbers; monoid presentation

 

 

 

Guest Editor

Dr. Şule Ayar Özbal

E-mail

Website

 

 

Affiliation

Deputy of Quality Coordinator, Department of Mathematics, Faculty of Science and Letters, Yasar University, Izmir, Turkey

 

Interests

algebras; derivations of algebras; applied sciences; mathematics; mathematics and computational applications

 

 

 

Special Issue Information

 

 

 

Dear Colleagues,

 

Contemporary Mathematics is delighted to announce a special issue dedicated to the exploration of "Polygonal and Figurate Numbers." As you may know, polygonal numbers have a long and fascinating history in mathematics, and have been the subject of much research and investigation. This special issue aims to bring together the latest research on polygonal numbers and their connections to other areas of mathematics, including number theory, algebra, and geometry.

 

Polygonal numbers and figurate numbers are two related but distinct concepts in mathematics. Polygonal numbers are a special type of number that can be represented as the sum of consecutive triangular, square, pentagonal, or any other n-gonal sequence of natural numbers. Figurate numbers, on the other hand, are a general term used to describe any type of number that can be represented in a geometric or visual way. This can include polygonal numbers, as well as other types of numbers such as triangular numbers, Fibonacci numbers, and prime numbers. Figurate numbers are often studied for their visual and geometric properties, as well as their connections to other areas of mathematics.

 

We invite you to submit original research articles that contribute to our understanding of polygonal and figurate numbers and their various applications. Topics of interest include, but are not limited to:

 

(1)   The history and development of polygonal and figurate numbers

(2)   The various properties and applications of polygonal and figurate numbers

(3)   Diophantine equations involving polygonal and figurate numbers

(4)   Sums of polygonal and figurate numbers

(5)   Functions of polygonal and figurate numbers

(6)   Arithmetic sequences involving polygonal and figurate numbers

(7)   Algebraic constructions on polygonal and figurate numbers

(8)   Connections between polygonal and figurate numbers and other areas of mathematics

(9)   Open problems and challenges in the study of polygonal and figurate numbers

 

We believe that this special issue will be a valuable resource for researchers, students, and anyone interested in the fascinating world of polygonal and figurate numbers. We hope that you will consider submitting your work for publication in this special issue.

 

If you have any questions or need further information, please do not hesitate to contact us at umitsarp@ymail.com.

 

We look forward to receiving your submissions.

 

 

 

Published Papers

 

 

 

This special issue is now open for submission.