Titlebook: Integer Sequences; Divisibility, Lucas Masum Billal,Samin Riasat Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusiv

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ces, periods of sequences, and lifting properties of sequenc.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

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Book 2021ess 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. .

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Masum Billal,Samin RiasatDiscusses 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 sequenc

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978-981-16-0572-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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Preliminaries,In this chapter, we discuss some topics from algebra that are prerequisites to the theory we will develop. First, we discuss groups, rings, fields, vector spaces, and matrices very briefly in Sects. 1.1 and 1.2.

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Linear Recurrent Sequences,the length of the period, as well as show how to produce this bound. Finally, we discuss the theory developed by Morgan Ward on the periodicity of such sequences with the help of the .. We will see a lot of results that are of fundamental importance in this theory.