Auxiliary polynomials in number theory /
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| Author / Creator: | Masser, David William, 1948- |
|---|---|
| Imprint: | Cambridge : Cambridge University Press, 2016. |
| Description: | 1 online resource |
| Language: | English |
| Series: | Cambridge Tracts in Mathematics ; 207 Cambridge tracts in mathematics ; 207. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/13540131 |
Table of Contents:
- 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.