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Introduction to Modern Prime Number Theory (Cambridge Tracts in Mathematics and Mathematical Physics) - Softcover

 
9780521168281: Introduction to Modern Prime Number Theory (Cambridge Tracts in Mathematics and Mathematical Physics)
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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.

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This 1952 book 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 supplies numerous theories and results on characters and primes in arithmetic progressions.
Review:
'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

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  • PublisherCambridge University Press
  • Publication date2011
  • ISBN 10 0521168287
  • ISBN 13 9780521168281
  • BindingPaperback
  • Number of pages86

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