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Density of prime divisors of linear recurrences / / Christian Ballot
| Density of prime divisors of linear recurrences / / Christian Ballot |
| Autore | Ballot Christian <1961-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Numbers, Prime
Divisor theory Recurrent sequences (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0130-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""CHAPTER 1 GENERAL PRELIMINARIES""; ""CHAPTER 2 BACKGROUND MATERIAL""; ""Â1. Lucas Sequences. Rank. Laws of Apparition and Repetition""; ""Â2. Some Results of Laxton. The Laxton Group""; ""Â3. Hasse's Method and Lagarias' Contribution""; ""Â4. Some Observations and Open Questions""; ""CHAPTER 3 MORE ABOUT RECURRING SEQUENCES OF ORDER TWO""; ""Â1. Densities of Companion Sequences in the Reducible Case""; ""Â2. Density of Divisors of Cq(Î?1,Î?2)""; ""CHAPTER 4 A STUDY OF THE CUBIC CASE""; ""Â1. Preliminaries""
""REFERENCES"" |
| Record Nr. | UNINA-9910480195403321 |
Ballot Christian <1961->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Density of prime divisors of linear recurrences / / Christian Ballot
| Density of prime divisors of linear recurrences / / Christian Ballot |
| Autore | Ballot Christian <1961-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Numbers, Prime
Divisor theory Recurrent sequences (Mathematics) |
| ISBN | 1-4704-0130-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""CHAPTER 1 GENERAL PRELIMINARIES""; ""CHAPTER 2 BACKGROUND MATERIAL""; ""Â1. Lucas Sequences. Rank. Laws of Apparition and Repetition""; ""Â2. Some Results of Laxton. The Laxton Group""; ""Â3. Hasse's Method and Lagarias' Contribution""; ""Â4. Some Observations and Open Questions""; ""CHAPTER 3 MORE ABOUT RECURRING SEQUENCES OF ORDER TWO""; ""Â1. Densities of Companion Sequences in the Reducible Case""; ""Â2. Density of Divisors of Cq(Î?1,Î?2)""; ""CHAPTER 4 A STUDY OF THE CUBIC CASE""; ""Â1. Preliminaries""
""REFERENCES"" |
| Record Nr. | UNINA-9910788757003321 |
|
Ballot Christian <1961->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Density of prime divisors of linear recurrences / / Christian Ballot
| Density of prime divisors of linear recurrences / / Christian Ballot |
| Autore | Ballot Christian <1961-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Numbers, Prime
Divisor theory Recurrent sequences (Mathematics) |
| ISBN | 1-4704-0130-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""CHAPTER 1 GENERAL PRELIMINARIES""; ""CHAPTER 2 BACKGROUND MATERIAL""; ""Â1. Lucas Sequences. Rank. Laws of Apparition and Repetition""; ""Â2. Some Results of Laxton. The Laxton Group""; ""Â3. Hasse's Method and Lagarias' Contribution""; ""Â4. Some Observations and Open Questions""; ""CHAPTER 3 MORE ABOUT RECURRING SEQUENCES OF ORDER TWO""; ""Â1. Densities of Companion Sequences in the Reducible Case""; ""Â2. Density of Divisors of Cq(Î?1,Î?2)""; ""CHAPTER 4 A STUDY OF THE CUBIC CASE""; ""Â1. Preliminaries""
""REFERENCES"" |
| Record Nr. | UNINA-9910829052003321 |
|
Ballot Christian <1961->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fibonacci and Catalan numbers [[electronic resource] ] : an introduction / / Ralph P. Grimaldi
| Fibonacci and Catalan numbers [[electronic resource] ] : an introduction / / Ralph P. Grimaldi |
| Autore | Grimaldi Ralph P |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, c2012 |
| Descrizione fisica | 1 online resource (382 p.) |
| Disciplina | 512.7/2 |
| Soggetto topico |
Fibonacci numbers
Recurrent sequences (Mathematics) Catalan numbers (Mathematics) Combinatorial analysis |
| ISBN |
1-283-40115-0
9786613401151 1-118-15976-4 1-118-15974-8 1-118-15977-2 |
| Classificazione | MAT036000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers. |
| Record Nr. | UNINA-9910141163003321 |
|
Grimaldi Ralph P
|
||
| Hoboken, N.J., : John Wiley & Sons, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fibonacci and Catalan numbers : an introduction / / Ralph P. Grimaldi
| Fibonacci and Catalan numbers : an introduction / / Ralph P. Grimaldi |
| Autore | Grimaldi Ralph P |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, c2012 |
| Descrizione fisica | 1 online resource (382 p.) |
| Disciplina | 512.7/2 |
| Soggetto topico |
Fibonacci numbers
Recurrent sequences (Mathematics) Catalan numbers (Mathematics) Combinatorial analysis |
| ISBN |
1-283-40115-0
9786613401151 1-118-15976-4 1-118-15974-8 1-118-15977-2 |
| Classificazione | MAT036000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers. |
| Record Nr. | UNINA-9910828592003321 |
|
Grimaldi Ralph P
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||
| Hoboken, N.J., : John Wiley & Sons, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
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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 | ||
| ||
Polynomial root-finding and polynomiography [[electronic resource] /] / Bahman Kalantari
| Polynomial root-finding and polynomiography [[electronic resource] /] / Bahman Kalantari |
| Autore | Kalantari Bahman |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 512.9/422 |
| Soggetto topico |
Polynomials
Visualization Recurrent sequences (Mathematics) Computer graphics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-44090-X
9786612440908 981-281-183-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Introduction; 1. Approximation of Square-Roots and Their Visualizations; 2. The Fundamental Theorem of Algebra and a Special Case of Taylor's Theorem; 3. Introduction to the Basic Family and Polynomiography; 4. Equivalent Formulations of the Basic Family; 5. Basic Family as Dynamical System; 6. Fixed Points of the Basic Family; 7. Algebraic Derivation of the Basic Family and Characterizations; 8. The Truncated Basic Family and the Case of Halley Family; 9. Characterizations of Solutions of Homogeneous Linear Recurrence Relations
10. Generalization of Taylor's Theorem and Newton's Method11. The Multipoint Basic Family and its Order of Convergence; 12. A Computational Study of the Multipoint Basic Family; 13. A General Determinantal Lower Bound; 14. Formulas for Approximation of Pi Based on Root-Finding Algorithms; 15. Bounds on Roots of Polynomials and Analytic Functions; 16. A Geometric Optimization and its Algebraic O springs; 17. Polynomiography: Algorithms for Visualization of Polynomial Equations; 18. Visualization of Homogeneous Linear Recurrence Relations 19. Applications of Polynomiography in Art, Education, Science and Mathematics20. Approximation of Square-Roots Revisited; 21. Further Applications and Extensions of the Basic Family and Polynomiography; Bibliography; Index |
| Record Nr. | UNINA-9910456910903321 |
|
Kalantari Bahman
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Polynomial root-finding and polynomiography [[electronic resource] /] / Bahman Kalantari
| Polynomial root-finding and polynomiography [[electronic resource] /] / Bahman Kalantari |
| Autore | Kalantari Bahman |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 512.9/422 |
| Soggetto topico |
Polynomials
Visualization Recurrent sequences (Mathematics) Computer graphics |
| ISBN |
1-282-44090-X
9786612440908 981-281-183-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Introduction; 1. Approximation of Square-Roots and Their Visualizations; 2. The Fundamental Theorem of Algebra and a Special Case of Taylor's Theorem; 3. Introduction to the Basic Family and Polynomiography; 4. Equivalent Formulations of the Basic Family; 5. Basic Family as Dynamical System; 6. Fixed Points of the Basic Family; 7. Algebraic Derivation of the Basic Family and Characterizations; 8. The Truncated Basic Family and the Case of Halley Family; 9. Characterizations of Solutions of Homogeneous Linear Recurrence Relations
10. Generalization of Taylor's Theorem and Newton's Method11. The Multipoint Basic Family and its Order of Convergence; 12. A Computational Study of the Multipoint Basic Family; 13. A General Determinantal Lower Bound; 14. Formulas for Approximation of Pi Based on Root-Finding Algorithms; 15. Bounds on Roots of Polynomials and Analytic Functions; 16. A Geometric Optimization and its Algebraic O springs; 17. Polynomiography: Algorithms for Visualization of Polynomial Equations; 18. Visualization of Homogeneous Linear Recurrence Relations 19. Applications of Polynomiography in Art, Education, Science and Mathematics20. Approximation of Square-Roots Revisited; 21. Further Applications and Extensions of the Basic Family and Polynomiography; Bibliography; Index |
| Record Nr. | UNINA-9910781095503321 |
|
Kalantari Bahman
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Polynomial root-finding and polynomiography / / Bahman Kalantari
| Polynomial root-finding and polynomiography / / Bahman Kalantari |
| Autore | Kalantari Bahman |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 512.9/422 |
| Soggetto topico |
Polynomials
Visualization Recurrent sequences (Mathematics) Computer graphics |
| ISBN |
1-282-44090-X
9786612440908 981-281-183-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Introduction; 1. Approximation of Square-Roots and Their Visualizations; 2. The Fundamental Theorem of Algebra and a Special Case of Taylor's Theorem; 3. Introduction to the Basic Family and Polynomiography; 4. Equivalent Formulations of the Basic Family; 5. Basic Family as Dynamical System; 6. Fixed Points of the Basic Family; 7. Algebraic Derivation of the Basic Family and Characterizations; 8. The Truncated Basic Family and the Case of Halley Family; 9. Characterizations of Solutions of Homogeneous Linear Recurrence Relations
10. Generalization of Taylor's Theorem and Newton's Method11. The Multipoint Basic Family and its Order of Convergence; 12. A Computational Study of the Multipoint Basic Family; 13. A General Determinantal Lower Bound; 14. Formulas for Approximation of Pi Based on Root-Finding Algorithms; 15. Bounds on Roots of Polynomials and Analytic Functions; 16. A Geometric Optimization and its Algebraic O springs; 17. Polynomiography: Algorithms for Visualization of Polynomial Equations; 18. Visualization of Homogeneous Linear Recurrence Relations 19. Applications of Polynomiography in Art, Education, Science and Mathematics20. Approximation of Square-Roots Revisited; 21. Further Applications and Extensions of the Basic Family and Polynomiography; Bibliography; Index |
| Record Nr. | UNINA-9910821073603321 |
|
Kalantari Bahman
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
