An Introduction to Sieve Methods and Their Applications / Alina Carmen Cojocaru and M. Ram Murty

By:

Cojocaru, Alina Carmen

Contributor(s):

Murty, Ram M

Material type: Text

9780521170345

Subject(s):

DDC classification:

512.74 CojI

Summary: 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.

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Item type	Current library	Collection	Call number	Status	Barcode
Reference	Indian Institute of Technology Tirupati General Stacks	Gifted Books	512.74 CojI (GB0073) (Browse shelf(Opens below))	Not for loan	GB0073

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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.

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