The Distribution of Prime Numbers

ISBN-13: 9780521397896 / Angielski / Miękka / 1990 / 136 str.

A. E. Ingham; R. C. Vaughan

Opis

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 long out of print, 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.

Recenzje

'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

Spis treści

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