The Prime Number Theorem / Edition 1

The Prime Number Theorem / Edition 1

by G. J. O. Jameson
     
 

ISBN-10: 0521891108

ISBN-13: 9780521891103

Pub. Date: 04/28/2007

Publisher: Cambridge University Press

At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great

Overview

At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great classical theorems of mathematics. This textbook introduces the prime number theorem and is suitable for advanced undergraduates and beginning graduate students. The author deftly shows how analytical tools can be used in number theory to attack a 'real' problem.

Product Details

ISBN-13:
9780521891103
Publisher:
Cambridge University Press
Publication date:
04/28/2007
Series:
London Mathematical Society Student Texts Series, #53
Edition description:
New Edition
Pages:
264
Sales rank:
985,985
Product dimensions:
5.98(w) x 8.98(h) x 0.59(d)

Table of Contents

Preface; 1. Foundations; 2. Some important Dirichlet series and arithmetic functions; 3. The basic theorems; 4. Prime numbers in residue classes: Dirichlet's theorem; 5. Error estimates and the Riemann hypothesis; 6. An 'elementary' proof of the prime number theorem; Appendices; Bibliography; Index.

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