Introduction to Modern Prime Number Theory

Erscheinungsjahr 2011
ISBN: 978-0-521-16828-1
Verlag: Cambridge University Press

Buch, Englisch, 86 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 121 g

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.

Autoren/Hrsg.

Estermann, T.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

Preface
Preface to the second impression
Remarks on notation
1. The Riemann zeta function and a refinement of the prime number theorem
2. The number of primes in an arithmetical progression
3. The representations of an odd number as a sum of three primes
Theorems and formulae for reference.