An Introduction to Sieve Methods and Their Applications (London Mathematical Society Student Texts)

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Название:An Introduction to Sieve Methods and Their Applications (London Mathematical Society Student Texts)

Автор: Alina Carmen Cojocaru, M. Ram Murty

Издательство: Cambridge University Press

ISBN: 0521848164

Год: 2006

Страниц: 236

Язык:Английский

Формат: PDF

Размер: 1.52 MB

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.