Integer sequences : divisibility, Lucas and Lehmer sequences / / Masum Billal and Samin Riasat
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| Autore: |
Billal Masum
|
| Titolo: |
Integer sequences : divisibility, Lucas and Lehmer sequences / / Masum Billal and Samin Riasat
|
| Pubblicazione: | Gateway East, Singapore : , : Springer, , [2021] |
| ©2021 | |
| Descrizione fisica: | 1 online resource (xiii, 168 pages) : illustrations |
| Disciplina: | 512.72 |
| Soggetto topico: | Number theory |
| Recurrent sequences (Mathematics) | |
| Successions (Matemàtica) | |
| Soggetto genere / forma: | Llibres electrònics |
| Persona (resp. second.): | RiasatSamin |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Intro -- Preface -- References -- Who This Book Is For -- Contents -- About the Authors -- 1 Preliminaries -- 1.1 Groups, Rings, Fields, and Vector Spaces -- 1.1.1 Groups -- 1.1.2 Rings and Fields -- 1.1.3 Vector Spaces -- 1.2 Matrices -- 1.3 Polynomials -- 1.4 Cyclotomic Polynomials -- References -- 2 Linear Recurrent Sequences -- 2.1 Introduction -- 2.2 Periodicity -- 2.3 Fundamental Theorems on Periodicity -- 2.4 Finding Pre-Period and Least Period -- References -- 3 Divisibility Sequences -- 3.1 Introduction -- 3.2 Characterization of Divisibility Sequences -- 3.3 Binomial Coefficients -- References -- 4 Lucas Sequences -- 4.1 Introduction -- 4.2 Divisibility of Second-Order Lucas Sequences -- 4.3 Lucas Sequence of Arbitrary Order -- References -- 5 Lehmer Sequences -- 5.1 Introduction -- 5.2 Divisibility of Lehmer Sequence -- 5.3 Periodicity of Lehmer Sequence -- 5.4 Extending Wilson's Theorem -- 5.5 LCM Sequence of Lehmer Sequences -- 5.6 Subsequence of Lehmer Sequences -- References -- 6 On Primitive Divisors -- 6.1 The History of Primitive Divisors -- 6.2 Primitive Divisors of an-bn -- 6.3 Primitive Divisors of Real Lucas Sequences -- 6.4 Primitive Divisors of Real Lehmer Sequences -- 6.5 Primitive Divisors of Complex Lehmer Sequences -- References -- 7 Exercises -- Reference -- Appendix Glossary -- References -- Index. |
| Titolo autorizzato: | Integer sequences |
| ISBN: | 981-16-0570-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466392403316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |