Book contents
- Frontmatter
- Contents
- Preface
- Preface to second edition
- Notation
- 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 Homogeneous equations and Birch's theorem
- 10 A theorem of Roth
- 11 Diophantine inequalities
- 12 Wooley's upper bound for G(k)
- Bibliography
- Index
7 - Vinogradov's upper bound for G(k)
Published online by Cambridge University Press: 22 September 2009
- Frontmatter
- Contents
- Preface
- Preface to second edition
- Notation
- 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 Homogeneous equations and Birch's theorem
- 10 A theorem of Roth
- 11 Diophantine inequalities
- 12 Wooley's upper bound for G(k)
- Bibliography
- Index
Summary
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9780511470929/resource/name/firstPage-9780511470929c7_p111-126_CBO.jpg)
- Type
- Chapter
- Information
- The Hardy-Littlewood Method , pp. 111 - 126Publisher: Cambridge University PressPrint publication year: 1997