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Auxiliary polynomials in number theory /
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2016.
|
| Colección: | Cambridge tracts in mathematics ;
207. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover ; Half-title ; Series information ; Title page ; Copyright information ; Table of 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
- Dobrowolski17 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.