Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Notation
- Preliminaries
- Diophantine equations and recurrence sequences
- 1 Purely exponential equations
- 2 Binary recurrence sequences with rational roots
- 3 Binary recurrence sequences
- 4 Recurrence sequences of order 2, 3 and 4
- 5 The Thue equation
- 6 The superelliptic equation
- 7 The Thue–Mahler equation
- 8 The generalised superelliptic equation
- 9 Perfect powers in binary recurrence sequences
- 10 Perfect powers at integral values of a polynomial
- 11 The Fermat equation
- 12 The Catalan equation and related equations
- References
- Index
3 - Binary recurrence sequences
Published online by Cambridge University Press: 04 May 2010
- Frontmatter
- Contents
- Preface
- Introduction
- Notation
- Preliminaries
- Diophantine equations and recurrence sequences
- 1 Purely exponential equations
- 2 Binary recurrence sequences with rational roots
- 3 Binary recurrence sequences
- 4 Recurrence sequences of order 2, 3 and 4
- 5 The Thue equation
- 6 The superelliptic equation
- 7 The Thue–Mahler equation
- 8 The generalised superelliptic equation
- 9 Perfect powers in binary recurrence sequences
- 10 Perfect powers at integral values of a polynomial
- 11 The Fermat equation
- 12 The Catalan equation and related equations
- References
- Index
Summary
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- Chapter
- Information
- Exponential Diophantine Equations , pp. 63 - 81Publisher: Cambridge University PressPrint publication year: 1986