Murty M.R. Problems in analytic number theory

New York: Springer, 2001. — 458 p.This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate and senior undergraduate students. The goals is to give a rapid introduction of how analytic methods are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory.Arithmetic functions
primes in arithmetic progressions
Prime number theorem
Method of contour integration
Functional equaitons
Hadamard products
Explicit formulas
Selberg class
Sieve methods
p-acid methods