## Table of contents for Analytic methods for Diophantine equations and Diophantine inequalities / H. Davenport ; edited and prepared for publication by Tim Browning.

Bibliographic record and links to related information available from the Library of Congress catalog

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Preface
Foreword
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 homoogeneous 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
Bibliography
Index.

Library of Congress subject headings for this publication: Diophantine analysis, Diophantine equations