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The Hardy-Littlewood Method

R. C. Vaughan
Publisher: 
Cambridge University Press
Publication Date: 
1997
Number of Pages: 
248
Format: 
Hardcover
Edition: 
2
Series: 
Cambridge Tracts in Mathematics
Price: 
120.00
ISBN: 
978-0521573474
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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1. Introduction and historical background; 2. The simplest upper bound for G(k); 3. Goldbach's problems; 4. The major arcs in Waring's problem; 5. Vinogradov's methods; 6. Davenport's methods; 7. Vinogradov's upper bound for G(k); 8. A ternary additive problem; 9. Homogenous equations and Birch's theorem; 10. A theorem of Roth; 11. Diophantine inequalities; 12. Wooley's upper bound for G(k); Bibliography.

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