Book contents
- Frontmatter
- Contents
- Foreword
- Editorial preface
- 1 Introduction
- 2 Waring's problem: history
- 3 Weyl's inequality and Hua's inequality
- 4 Waring's problem: the asymptotic formula
- 5 Waring's problem: the singular series
- 6 The singular series continued
- 7 The equation c1xk1 + … + csxks = N
- 8 The equation c1xk1 + … + csxks = 0
- 9 Waring's problem: the number G(k)
- 10 The equation c1xk1 + … + csxks = 0 again
- 11 General homogeneous equations: Birch's theorem
- 12 The geometry of numbers
- 13 Cubic forms
- 14 Cubic forms: bilinear equations
- 15 Cubic forms: minor arcs and major arcs
- 16 Cubic forms: the singular integral
- 17 Cubic forms: the singular series
- 18 Cubic forms: the p-adic problem
- 19 Homogeneous equations of higher degree
- 20 A Diophantine inequality
- References
- Index
13 - Cubic forms
Published online by Cambridge University Press: 08 January 2010
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Book contents
- Frontmatter
- Contents
- Foreword
- Editorial preface
- 1 Introduction
- 2 Waring's problem: history
- 3 Weyl's inequality and Hua's inequality
- 4 Waring's problem: the asymptotic formula
- 5 Waring's problem: the singular series
- 6 The singular series continued
- 7 The equation c1xk1 + … + csxks = N
- 8 The equation c1xk1 + … + csxks = 0
- 9 Waring's problem: the number G(k)
- 10 The equation c1xk1 + … + csxks = 0 again
- 11 General homogeneous equations: Birch's theorem
- 12 The geometry of numbers
- 13 Cubic forms
- 14 Cubic forms: bilinear equations
- 15 Cubic forms: minor arcs and major arcs
- 16 Cubic forms: the singular integral
- 17 Cubic forms: the singular series
- 18 Cubic forms: the p-adic problem
- 19 Homogeneous equations of higher degree
- 20 A Diophantine inequality
- References
- Index
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- Publisher: Cambridge University PressPrint publication year: 2005