Open access peer-reviewed Edited Volume

Number Theory and Its Applications

Cheon Seoung Ryoo

Hannam University


Natural Numbers Numbers representing physical quantities Modern number theory Arithmetic combinatorics P-adic numbers P-adic analysis Bernoulli numbers P-adic quantum mechanics Generating functions q-number Probabilistic number theory Computational number theory

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About the book

Until now, research on numbers has been done in mathematics and applied mathematics. These numbers are still in the center of advanced mathematical research. The intent of this book is to survey major interesting results and current trends in the theory of number associated with Natural Numbers, Classes of Natural numbers, Integers, Relational Numbers, Irrational Numbers, Real Numbers, Complex numbers, Hypercomplex numbers, Transfinite numbers, Numbers representing physical quantities, Modern number theory, Analytic number theory, Algebraic number theory, Probabilistic number theory, Arithmetic combinatorics, Computational number theory, P-adic numbers, Finite extensions of the field of P-adic numbers, Topological algebra, Formal power series and P-adic integer, Automorphic number, P-adic analysis, P-adic distribution, P-adic exponential function, P-adic gamma function, P-adic L-function, P-adic modular form, P-adic order, P-adic quantum mechanics, P-adic Teichmüller theory, Bernoulli numbers, Euler numbers, Genocchi numbers, tangent numbers, Cauchy numbers, Stirling Numbers, Sum, Generating functions, q-number, (p,q)-number, Probabilistic number theory, Arithmetic combinatorics, Computational number theory, Discrete mathematics, Numerical analysis, Differential equations, Cryptography. This book is based on recent results in all areas related to numbers. Manuscripts that show applications of numbers in other fields by physicists, computational scientists, and applied scientists are also welcome.

Publishing process

Book initiated and editor appointed

Date completed: November 11th 2019

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline Extended: Open for Submissions

Potential authors submit chapter proposals ready for review by the academic editor and our publishing review team.

Approved chapters written in full and submitted

Deadline for full chapters: May 17th 2020

Once approved by the academic editor and publishing review team, chapters are written and submitted according to pre-agreed parameters

Full chapters peer reviewed

Review results due: August 5th 2020

Full chapter manuscripts are screened for plagiarism and undergo a Main Editor Peer Review. Results are sent to authors within 30 days of submission, with suggestions for rounds of revisions.

Book compiled, published and promoted

Expected publication date: October 4th 2020

All chapters are copy-checked and typesetted before being published. IntechOpen regularly submits its books to major databases for evaluation and coverage, including the Clarivate Analytics Book Citation Index in the Web of ScienceTM Core Collection. Other discipline-specific databases are also targeted, such as Web of Science's BIOSIS Previews.

About the editor

Cheon Seoung Ryoo

Hannam University

Dr. Cheon Seoung Ryoo is a professor of Mathematics at Hannam University, South Korea. He received his PhD in Mathematics from Kyushu University, Fukuoka, Japan. Dr. Ryoo is the author of several research articles on numerical computations with guaranteed accuracy. He has also contributed works to the fields of scientific computing, analytic number theory and p-adic functional analysis. More recently, he has been working with special functions, quantum calculus and differential equations.

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Book chapters authored 1

Books edited 1

Introducing your Author Service Manager

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As an Author Service Manager, my responsibilities include monitoring and facilitating all publishing activities for authors and editors. From chapter submission and review to approval and revision, copyediting and design, until final publication, I work closely with authors and editors to ensure a simple and easy publishing process. I maintain constant and effective communication with authors, editors and reviewers, which allows for a level of personal support that enables contributors to fully commit and concentrate on the chapters they are writing, editing, or reviewing. I assist authors in the preparation of their full chapter submissions and track important deadlines and ensure they are met. I help to coordinate internal processes such as linguistic review, and monitor the technical aspects of the process. As an ASM I am also involved in the acquisition of editors. Whether that be identifying an exceptional author and proposing an editorship collaboration, or contacting researchers who would like the opportunity to work with IntechOpen, I establish and help manage author and editor acquisition and contact.

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