Integer Sequences

Divisibility, Lucas and Lehmer Sequences

Masum Billal, Samin Riasat (Autoren)

Buch | Hardcover

168 Seiten

2021 | 2021 ed.
Springer Verlag, Singapore
978-981-16-0569-7 (ISBN)

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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.

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.

1.Preliminaries.- 2.Linear Recurrent Sequences.- 3.Divisible Sequences.- 4.Lucas Sequences.- 5.Lehmer Sequences.- 6.On Primitive Divisors.

Erscheinungsdatum	28.06.2021
Zusatzinfo	1 Illustrations, black and white; XIII, 168 p. 1 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	binomial sequence • divisible sequences • lehmer sequence • Lucas Sequence • special integer sequences
ISBN-10	981-16-0569-6 / 9811605696
ISBN-13	978-981-16-0569-7 / 9789811605697
Zustand	Neuware