Contents
Preface x i
Notation xii i
Chapter 1. Unifor m Distributio n 1
1. Qualitativ e theor y 1
2. Quantitativ e relation s 3
3. Trigonometri c approximatio n 10
4. Note s 13
References 15
Chapter 2 . va n de r Corpu t Set s 17
Introduction 17
Extremal measure s 2 3
Relations betwee n a , /?oo #2 2 5
Corollaries 2 8
A sufficient conditio n 3 1
Intersective set s 3 4
Heilbronn set s 3 5
Notes 3 7
References 3 7
Chapter 3 . Exponentia l Sum s I :
The Method s o f Wey l an d va n de r Corpu t 3 9
1. Introductio n 3 9
2. WeyP s metho d 3 9
3. va n de r Corput' s metho d 4 6
4. Exponen t pair s 5 6
5. Note s 6 0
References 6 1
Chapter 4 . Exponentia l Sum s II :
Vinogradov's Metho d 6 5
1. Introductio n 6 5
2. Vinogradov' s Mea n Valu e Theorem 6 9
3. A bound fo r Wey l sum s 7 6
Previous Page Next Page