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The Distribution of Prime Numbers : Cambridge Mathematical Library - A.E. Ingham

The Distribution of Prime Numbers

Cambridge Mathematical Library

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

Paperback

Published: 3rd December 1990
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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.

'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

Forewordp. vii
Prefacep. xix
Introductionp. 1
Elementary Theoremsp. 9
The Prime Number Theoremp. 25
Further Theory of [[zeta]] (s). Applicationsp. 41
Explicit Formulaep. 68
Irregularities of Distributionp. 86
Bibliographyp. 108
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521397896
ISBN-10: 0521397898
Series: Cambridge Mathematical Library
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 136
Published: 3rd December 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.5 x 15.88  x 1.27
Weight (kg): 0.2