An Introduction to Sieve Methods and Their Applications

Alina Carmen Cojocaru, M. Ram Murty - Collection London Mathematical Society Student Texts

224 pages, parution le 15/12/2005

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Résumé

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 motivated 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, and non-experts can gain a quick introduction to the techniques of the subject.

Non-experts can gain a quick introduction to the techniques of Sieve Theory

Contains many concrete examples and applications

The book has over 200 exercises

Sommaire

Preface
Some basic notions
Some elementary sieves
The normal order method
The Turan sieve
The sieve of Eratosthenes
Brun's sieve
Selberg's sieve
The large sieve
The Bombieri-Vinogradov theorem
The lower bound sieve
New directions in sieve theory
Bibliography
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Alina Carmen Cojocaru, M. Ram Murty
Collection	London Mathematical Society Student Texts
Parution	15/12/2005
Nb. de pages	224
Format	15 x 23
Couverture	Broché
Poids	344g
Intérieur	Noir et Blanc
EAN13	9780521612753
ISBN13	978-0-521-61275-3