Preface to the Second Edition 
Acknowledgments for the Second Edition 
Preface to the First Edition 
Acknowledgments for the First Edition 
ⅠProblems 
1 Arithmetic Functions 
1.1 The Mobius Inversion Formula and Applications 
1.2 Formal Dirichlet Series 
1.3 Orders of Some Arithmetical Functions 
1.4 Average Orders of Arithmetical Functions 
1.5 Supplementary Problems 
2 Primes in Arithmetic Progressions 
2.1 Summation Techniques 
2.2 Characters mod q 
2.3 Dirichlet's Theorem 
2.4 Dirichlet's Hyperbola Method 
2.5 Supplementary Problems 
3 The Prime Number Theorem 
3.1 Chebyshev's Theorem 
3.2 Nonvanishing of Dirichlet Series on Re(s) = 1 
3.3 The Ikehara - Wiener Theorem 
3.4 Supplementary Problems 
4 The Method of Contour Integration 
4.1 Some Basic Integrals 
4.2 The Prime Number Theorem 
4.3 Further Examples 
4.4 Supplementary Problems 
5 Functional Equations 
5.1 Poisson's Summation Formula 
5.2 The Riemann Zeta Function 
5.3 Gauss Sums 
5.4 Dirichlet L-functions 
5.5 Supplementary Problems 
…… 
Ⅱ Solutions 
Reterences 
Index