Table of contents for The Hardy-Littlewood method / R.C. Vaughan.

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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)

Library of Congress subject headings for this publication: Hardy-Littlewood method