Alina. Carmen Cojocaru

An Introduction to Sieve Methods and Their Applications

• Gebundenes Buch

Produktbeschreibung

Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivating introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 238
• Erscheinungstermin: 8. Dezember 2005
• Englisch
• Abmessung: 235mm x 157mm x 17mm
• Gewicht: 501g
• ISBN-13: 9780521848169
• ISBN-10: 0521848164
• Artikelnr.: 21437201

Autorenporträt

Alina Carmen Cojocaru is an Instructor of Mathematics at Princeton University.

Inhaltsangabe

1. Some basic notions
2. Some elementary sieves
3. The normal order method
4. The Turan sieve
5. The sieve of Eratosthenes
6. Brun's sieve
7. Selberg's sieve
8. The large sieve
9. The Bombieri-Vinogradov theorem
10. The lower bound sieve
11. New directions in sieve theory
Bibliography.