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Integer Sequences : Divisibility, Lucas and Lehmer Sequences / by Masum Billal, Samin Riasat.
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online
View online- Format:
- Book
- Author/Creator:
- Billal, Masum, author.
- Riasat, Samin, author.
- Language:
- English
- Subjects (All):
- Number theory.
- Number Theory.
- Local Subjects:
- Number Theory.
- Physical Description:
- 1 online resource (xiii, 168 pages) : illustrations
- Edition:
- 1st ed. 2021.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2021.
- Summary:
- 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. .
- Contents:
- 1.Preliminaries
- 2.Linear Recurrent Sequences
- 3.Divisible Sequences
- 4.Lucas Sequences
- 5.Lehmer Sequences
- 6.On Primitive Divisors.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 981-16-0570-X
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