The Distribution of Prime Numbers

A. E. Ingham (Author), R. C. Vaughan (Foreword by)

9780521397896, Cambridge University Press

Paperback, published 28 September 1990

136 pages, 4 b/w illus.
22.7 x 15.2 x 1.4 cm, 0.23 kg

'I especially like this book because it weaves the number theory and zeta function aspects together very skillfully. It's a very good introduction for someone who wants to learn about the zeta function or about prime number theory.' Allen Stenger, MAA Reviews

Originally published in 1934 in the Cambridge Tracts, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being out of print for a long time, this Tract still remains unsurpassed as an introduction to the field, combining an economy of detail with a clarity of exposition which eases the novice into this area.

Preface
Introduction
1. Elementary theorems
2. The prime number theorem
3. Further theory of ( ). applications
4. Explicit formulae
5. Irregularities of distribution
Bibliography.

Subject Areas: Number theory [PBH]