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 1 0 4. Note s 1 3 References 1 5 Chapter 2 . va n de r Corpu t Set s 1 7 Introduction 1 7 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
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