| Description |
1 online resource (xx, 140 pages) |
| Series |
Cambridge mathematical library |
|
Cambridge mathematical library.
|
| Contents |
Waring's problem / R.C. Vaughan -- Forms in many variables / D.R. Heath-Brown -- Diophantine inequalities / D.E. Freeman -- 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. singular series continued -- 7. equation c[subscript 1]x[subscript 1][superscript k] + ... + c[subscript s]x[subscript s][superscript k] = N -- 8. equation c[subscript 1]x[subscript 1][superscript k] + ... + c[subscript s]x[subscript s][superscript k] = 0 -- 9. Waring's problem : the number G(k) -- 10. equation c[subscript 1]x[subscript 1][superscript k] + ... + c[subscript s]x[subscript s][superscript k] = 0 again -- 11. General homogeneous equations : Birch's theorem -- 12. 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. Diophantine inequality |
| Summary |
"Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an introduction to a timeless area of number theory that is still as relevant today as it was when the book originally appeared."--Jacket |
| Bibliography |
Includes bibliographical references (pages 134-138) and index |
| Notes |
Print version record |
| Subject |
Diophantine analysis.
|
|
Diophantine equations.
|
|
MATHEMATICS -- Number Theory.
|
|
Diophantine analysis
|
|
Diophantine equations
|
| Form |
Electronic book
|
| Author |
Browning, Tim.
|
| ISBN |
0511080867 |
|
9780511080869 |
|
0511079346 |
|
9780511079344 |
|
9780511542893 |
|
0511542895 |
|
