Book contents
- Frontmatter
- Contents
- Introduction
- 1 Prologue
- 2 Irrationality I
- 3 Irrationality II – Mahler's Method
- 4 Diophantine equations – Runge's Method
- 5 Irreducibility
- 6 Elliptic curves – Stepanov's Method
- 7 Exponential sums
- 8 Irrationality measures I – Mahler
- 9 Integer-valued entire functions I – Pólya
- 10 Integer-valued entire functions II – Gramain
- 11 Transcendence I – Mahler
- 12 Irrationality measures II – Thue
- 13 Transcendence II – Hermite–Lindemann
- 14 Heights
- 15 Equidistribution – Bilu
- 16 Height lower bounds – Dobrowolski
- 17 Height upper bounds
- 18 Counting – Bombieri–Pila
- 19 Transcendence III – Gelfond–Schneider–Lang
- 20 Elliptic functions
- 21 Modular functions
- 22 Algebraic independence
- Appendix: Néron's square root
- References
- Index
13 - Transcendence II – Hermite–Lindemann
Published online by Cambridge University Press: 05 July 2016
Book contents
- Frontmatter
- Contents
- Introduction
- 1 Prologue
- 2 Irrationality I
- 3 Irrationality II – Mahler's Method
- 4 Diophantine equations – Runge's Method
- 5 Irreducibility
- 6 Elliptic curves – Stepanov's Method
- 7 Exponential sums
- 8 Irrationality measures I – Mahler
- 9 Integer-valued entire functions I – Pólya
- 10 Integer-valued entire functions II – Gramain
- 11 Transcendence I – Mahler
- 12 Irrationality measures II – Thue
- 13 Transcendence II – Hermite–Lindemann
- 14 Heights
- 15 Equidistribution – Bilu
- 16 Height lower bounds – Dobrowolski
- 17 Height upper bounds
- 18 Counting – Bombieri–Pila
- 19 Transcendence III – Gelfond–Schneider–Lang
- 20 Elliptic functions
- 21 Modular functions
- 22 Algebraic independence
- Appendix: Néron's square root
- References
- Index
- Type
- Chapter
- Information
- Auxiliary Polynomials in Number Theory , pp. 158 - 165Publisher: Cambridge University PressPrint publication year: 2016