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Integer sequences : divisibility, Lucas and Lehmer sequences / / Masum Billal and Samin Riasat
| Integer sequences : divisibility, Lucas and Lehmer sequences / / Masum Billal and Samin Riasat |
| Autore | Billal Masum |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [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 |
| ISBN | 981-16-0570-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNISA-996466392403316 |
Billal Masum
|
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| Gateway East, Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Integer sequences : divisibility, Lucas and Lehmer sequences / / Masum Billal and Samin Riasat
| Integer sequences : divisibility, Lucas and Lehmer sequences / / Masum Billal and Samin Riasat |
| Autore | Billal Masum |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [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 |
| ISBN | 981-16-0570-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910485594003321 |
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Billal Masum
|
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| Gateway East, Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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