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Introduction to Modern Prime Number Theory : Cambridge Tracts in Mathematics and Mathematical Physics - Theodor Estermann

Introduction to Modern Prime Number Theory

Cambridge Tracts in Mathematics and Mathematical Physics


Published: 11th August 2011
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This book was first published in 1952. It is largely devoted to the object of proving the Vinogradov-Goldbach theorem: that every sufficiently large odd number is the sum of three primes. In the course of proving this, T. Estermann, formerly Professor of Mathematics at the University of London, supplies numerous theories and results on characters and primes in arithmetic progressions. The author also ensures that the proofs presented to the reader are both clear and remarkably concise. The volume at hand addresses the Riemann zeta function, primes in arithmetical progression, and the ways in which odd numbers can be represented as the sum of three primes. At the end of the book is an index and a seven-page section of theorems and formulae for reference. This volume is both interesting and accessible, and will appeal to all with an enthusiasm for mathematics and problem solving.

'This book is a beautiful and short introduction to some basic techniques in analytic number theory presented in a style close to Landau's.' Franz Lemmermeyer, Zentralblatt MATH

Preface to the second impression
Remarks on notation
The Riemann zeta function and a refinement of the prime number theorem
The number of primes in an arithmetical progression
The representations of an odd number as a sum of three primes
Theorems and formulae for reference
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521168281
ISBN-10: 0521168287
Series: Cambridge Tracts in Mathematics and Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 86
Published: 11th August 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 21.6 x 14.0  x 0.5
Weight (kg): 0.12