'The entire exposition is extremely lucid, motivated and amply commentated throughout. With numerous examples illustrating the purely theoretical parts. Unquestionably, the book bespeaks the author's teaching skill and experience just as much as his gripping passion for this refined and fascinating topic. Altogether, this textbook is outstandingly suitable for both a course on prime number theory, at the upper-graduate level, and as a source for self-instruction … Anyway, this text is a highly valuable enhancement of the existing literature on the subject which stands out by its particular user-friendliness.' Zentralblatt MATH

• Preface; 1. Foundations; 2. Some important Dirichlet series and arithmetic functions; 3. The basic theorems; 4. Prime numbers in residue classes: Dirichlet's theorem; 5. Error estimates and the Riemann hypothesis; 6. An 'elementary' proof of the prime number theorem; Appendices; Bibliography; Index.