Overview
Discusses special properties of integer sequences from a unique point of view
Focuses on divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, and lifting properties of sequences
Appeals to Olympiad students, researchers and anyone interested in Fibonacci number
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Table of contents (7 chapters)
Keywords
About this book
This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting properties, and so on. The book presents theories derived by using elementary means and includes results not usually found in common number theory books. Considering the impact and usefulness of these theorems, the book also aims at being valuable for Olympiad level problem solving as well as regular research. This book will be of interest to students, researchers and faculty members alike.
Authors and Affiliations
About the authors
Masum Billal is working as a senior data scientist in Dhaka, Bangladesh. He has authored a book on number theory and he has been a trainer at math camps of Bangladesh for 5/6 years. His research interests include mathematics (specially number theory), machine learning, cryptography, etc.
Samin Riasat has completed his Master of Mathematics in Computer Science at the University of Waterloo, Canada. He has authored a book on mathematical olympiads and his research articles have been published in journals of repute. He is also a reviewer for Mathematical Reviews.
Bibliographic Information
Book Title: Integer Sequences
Book Subtitle: Divisibility, Lucas and Lehmer Sequences
Authors: Masum Billal, Samin Riasat
DOI: https://doi.org/10.1007/978-981-16-0570-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
Hardcover ISBN: 978-981-16-0569-7Published: 19 June 2021
Softcover ISBN: 978-981-16-0572-7Published: 20 June 2022
eBook ISBN: 978-981-16-0570-3Published: 18 June 2021
Edition Number: 1
Number of Pages: XIII, 168
Number of Illustrations: 1 b/w illustrations
Topics: Number Theory