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Auxiliary polynomials in number theory

Author: David William Masser
Publisher: Cambridge : Cambridge University Press, 2016.
Series: Cambridge tracts in mathematics, 207.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David William Masser
ISBN: 9781107061576 1107061571
OCLC Number: 934192216
Description: xviii, 348 pages ; 24 cm.
Contents: Machine generated contents note: 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 --
Polya --
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.
Series Title: Cambridge tracts in mathematics, 207.
Responsibility: David Masser, University of Basel, Switzerland.

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'Several features of this book are original. First of all: the topic ... Next, thanks to the unique style of the author, this book offers a pleasant reading; a number of nice jokes enable the reader Read more...

 
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