Advances in Number Theory and Applied Analysis

Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.

The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.

Pradip Debnath is an Assistant Professor (in Mathematics) at the Department of Applied Science and Humanities, Assam University, Silchar (a central university). He received his PhD in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, nonlinear functional analysis, soft computing and mathematical statistics. He has published more than 60 papers in various journals of international repute and is an active reviewer for more than 40 international journals.

Hari M Srivastava is Professor Emeritus at the Department of Mathematics and Statistics, University of Victoria, Canada. He has been Clarivate Analytics (Thomson-Reuters) Highly Cited Researcher for the years 2015, 2017, 2018 and 2020. He has also been listed and ranked in the Sixth Place in General Mathematics among the Top 2% Scientists in the World 2021 (Published by Stanford University in USA). In fact, it is not quite possible to list out his tremendous academic achievements in a few sentences. The details of the same may be found in his regularly updated website www.math.uvic.ca/~harimsri/.

Kalyan Chakraborty is at present the Director of the Kerala School of Mathematics, India. Previously he was working as a Professor at Harish-Chandra Research Institute (HRI), Allahabad, India, where he also obtained his PhD in Mathematics. Professor Chakraborty was a postdoctoral fellow at IMSc, Chennai, and at Queen's University, Canada, and a visiting scholar at the University of Paris VI, VII, France; Tokyo Metropolitan University, Japan; Universitá Roma Tre, Italy; The University of Hong Kong, Hong Kong; Northwest University and Shandong University, China; Mahidol University, Thailand; Mandalay University, Myanmar; and many more. His broad area of research is number theory, particularly class groups, Diophantine equations, automorphic forms, arithmetic functions, elliptic curves, and special functions. He has published more than 60 research articles in respected journals and two books on number theory, and has been on the editorial boards of various leading journals. Professor Chakraborty is Vice-President of the Society for Special Functions and their Applications.

Poom Kumam received the BS, MSc, and PhD degrees in mathematics from Burapha University (BUU), Chiang Mai University (CMU), and Naresuan University (NU), respectively. In 2008, he received a grant from Franco-Thai Cooperation for short-term visited at the Laboratoire de Mathematiques, Universite de Bretagne Occidentale, France. He was also a Visiting Professor for a short-term research with Professor Anthony To-Ming Lau at the University of Alberta, AB, Canada. He is currently a Full Professor with the Department of Mathematics, King Mongkut's University of Technology Thonburi (KMUTT), where he is also the Head of the KMUTT Fixed Point Theory and Applications Research Group since 2007 and also leading of the Theoretical and Computational Science Center (TaCS-Center) in 2014 (now, became to TaCS-Center of Excellence in 2021). He has successfully advised 5 master's, and 44 PhD graduates.