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


Information from electronic data provided by the publisher. May be incomplete or contain other coding.


Counter
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