This is a concise introduction to analytic number theory. The author includes plenty of clever and interesting examples. He covers an amazing amount of material in just a few pages, despite his leisurely pace and emphasis on readability. The book is suitable for a graduate course in analytic number theory.

Klappentext

Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is magical about the subject. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.

Inhalt

The Idea of Analytic Number Theory.- The Partition Function.- The Erd?s-Fuchs Theorem.- Sequences without Arithmetic Progressions.- The Waring Problem.- A "Natural" Proof of the Nonvanishing of L-Series.- Simple Analytic Proof of the Prime Number Theorem.