Solutions to Exercises of the Book
Introduction to Analytic Number Theory by
Tom M. Apostol
Chapter 1: The Fundamental Theorem of Arithmetic
Chapter 2: Arithmetical Functions and Dirichlet Multiplication
Chapter 3: Averages of Arithmetical Functions
Chapter 4: Some Elementary Theorems on the Distribution of Prime Numbers
Chapter 5: Congruences
Chapter 6: Finite Abelian Groups and Their Characters
Chapter 7: Dirichlet's Theorem on Primes in Arithmetic Progressions
Chapter 8: Periodic Arithmetical Functions and Gauss Sums
Chapter 9: Quadratic Residues and the Quadratic Reciprocity Law
Chapter 10: Primitive Roots
Chapter 11: Dirichlet Series and Euler Products
Chapter 12: The Functions $\zeta(s)$ and $L(s,\chi)$
Chapter 13: Analytic Proof of the Prime Number Theorem
Chapter 14: Partitions