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Density of Prime Divisors of Linear Recurrences.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1995Copyright date: ©1995Edition: 1st edDescription: 1 online resource (117 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470401306
Subject(s): Genre/Form: Additional physical formats: Print version:: Density of Prime Divisors of Linear RecurrencesDDC classification:
  • 512/.72
LOC classification:
  • QA242 -- .B355 1995eb
Online resources:
Contents:
Intro -- CONTENTS -- ABSTRACT -- INTRODUCTION -- CHAPTER 1 GENERAL PRELIMINARIES -- CHAPTER 2 BACKGROUND MATERIAL -- 1. Lucas Sequences. Rank. Laws of Apparition and Repetition -- 2. Some Results of Laxton. The Laxton Group -- 3. Hasse's Method and Lagarias' Contribution -- 4. Some Observations and Open Questions -- CHAPTER 3 MORE ABOUT RECURRING SEQUENCES OF ORDER TWO -- 1. Densities of Companion Sequences in the Reducible Case -- 2. Density of Divisors of Cq(θ1,θ2) -- CHAPTER 4 A STUDY OF THE CUBIC CASE -- 1. Preliminaries -- 2. Semi-group Structure on F(f) -- 3. Group Structure on G(f) -- 4. Maximal Division -- 5. Some Numerical Data -- 6. Sequences of Order Two -- 7. Prime Divisors of C2(θ1,θ2,θ3) -- 8. Twin Division -- CHAPTER 5 STUDY OF THE GENERAL CASE m ≥ 2 -- 1. Preliminaries -- 2. Semi-group Structure on F(f) -- 3. Group Structure on G(f) -- 4. Maximal Division -- 5. A Subgroup of Sequences of Order Two -- 6. Primes of Rank of Maximal Division a Multiple of a Prime q -- APPENDIX A - LIST OF THEOREMS -- APPENDIX B - LIST OF SYMBOLS -- REFERENCES.
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Intro -- CONTENTS -- ABSTRACT -- INTRODUCTION -- CHAPTER 1 GENERAL PRELIMINARIES -- CHAPTER 2 BACKGROUND MATERIAL -- 1. Lucas Sequences. Rank. Laws of Apparition and Repetition -- 2. Some Results of Laxton. The Laxton Group -- 3. Hasse's Method and Lagarias' Contribution -- 4. Some Observations and Open Questions -- CHAPTER 3 MORE ABOUT RECURRING SEQUENCES OF ORDER TWO -- 1. Densities of Companion Sequences in the Reducible Case -- 2. Density of Divisors of Cq(θ1,θ2) -- CHAPTER 4 A STUDY OF THE CUBIC CASE -- 1. Preliminaries -- 2. Semi-group Structure on F(f) -- 3. Group Structure on G(f) -- 4. Maximal Division -- 5. Some Numerical Data -- 6. Sequences of Order Two -- 7. Prime Divisors of C2(θ1,θ2,θ3) -- 8. Twin Division -- CHAPTER 5 STUDY OF THE GENERAL CASE m ≥ 2 -- 1. Preliminaries -- 2. Semi-group Structure on F(f) -- 3. Group Structure on G(f) -- 4. Maximal Division -- 5. A Subgroup of Sequences of Order Two -- 6. Primes of Rank of Maximal Division a Multiple of a Prime q -- APPENDIX A - LIST OF THEOREMS -- APPENDIX B - LIST OF SYMBOLS -- REFERENCES.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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