包邮算术数列中除数函数的分布:基本内容、调查、方法、第二矩、新结果(英文)

Acknowledgments Chapter 1. Introduction 1.1 List of definitions and notations 1.2 Primes in arithmetic progressions 1.3 Average result on primes in arithmetic progressions 1.4 Divisor functions in arithmetic progressions 1.5 Average results on the divisor function in arithmetic progressions and the content of this thesis Chapter 2. Lemma. Chapter 3. An asymptotic formula of the sum of the divisor function in arithmetic progressions Chapter 4. Main Results 4.1 Outline of the proof 4.2 An upper bound of V(x,Q) 4.3 The calculation of S3 4.4 The calculation of S2 4.5 The calculation of J(x, Q) 4.5.1 Set up the sum of J(x, Q) 4.5.2 The calculation of the integrals 4.6 The calculation of V(x, Q) Chapter 5. Vaughan's method 5.1 Definition and notation 5.2 Lemma 5.3 Main results Bibliography 编辑手记