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Auxiliary Polynomials in Number Theory

David Masser
Publisher: 
Cambridge University Press
Publication Date: 
2016
Number of Pages: 
348
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics
Price: 
140.00
ISBN: 
9781107061576
Category: 
Monograph
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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.