# An Introduction to the Analytic Theory of Numbers

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*Raymond Ayoub*

#### Reviews & Endorsements

The exposition is masterful, there are lots of interesting side paths, and the chapter end-notes are interesting and helpful...One of the charms of this book for the serious student is the variety of approaches and proofs...Despite its age, this book still stands out for its breadth of coverage. I don't know any other introductory book that covers as wide a variety of methods and results as this one.

-- Allen Stenger, MAA Reviews

#### Table of Contents

# Table of Contents

## An Introduction to the Analytic Theory of Numbers

- Contents v6 free
- Introduction vii8 free
- Notation xi12 free
- I. Dirichlet's theorem on primes in an arithmetic progression 116 free
- II. Distribution of primes 3752
- III. The theory of partitions 135150
- IV. Waring's problem 206221
- V. Dirichlet L-functions and the class number of quadratic fields 277292
- Appendix A 353368
- Appendix B 364379
- References 373388
- Index of symbols 375390 free
- Subject index 377392