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020 _a9780521170345
041 _aeng
082 _a512.74
_bCojI
100 _aCojocaru, Alina Carmen
245 _aAn Introduction to Sieve Methods and Their Applications /
_cAlina Carmen Cojocaru and M. Ram Murty
260 _aNewyork :
_bCambridge University Press,
_c©2005
300 _axi,222p.
440 _aLondon Mathematical Society Student Texts ;
_vNo.66
520 _aSieve 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.
650 _aAlgebra
650 _aNumber theory
650 _aAnalytic number theory
700 _aMurty, Ram M.
942 _cBK
999 _c7934
_d7934