000 02514nam a22003978i 4500
001 CR9780511615993
003 UkCbUP
005 20200124160219.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090915s2005||||enk o ||1 0|eng|d
020 _a9780511615993 (ebook)
020 _z9780521848169 (hardback)
020 _z9780521612753 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA246
_b.C65 2005
082 0 4 _a512.73
_222
100 1 _aCojocaru, Alina,
_eauthor.
245 1 3 _aAn introduction to sieve methods and their applications /
_cAlina Caremn Cojocaru, M. Ram Murty.
246 3 _aAn Introduction to Sieve Methods & Their Applications
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xii, 224 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v66
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tSome basic notions --
_g2.
_tSome elementary sieves --
_g3.
_tnormal order method --
_g4.
_tTuran sieve --
_g5.
_tsieve of Eratosthenes --
_g6.
_tBrun's sieve --
_g7.
_tSelberg's sieve --
_g8.
_tlarge sieve --
_g9.
_tBombieri -- Vinogradov theorem --
_g10.
_tlower bound sieve --
_g11.
_tNew directions in sieve theory.
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 0 _aSieves (Mathematics)
700 1 _aMurty, Maruti Ram,
_eauthor.
710 2 _aLondon Mathematical Society,
_eissuing body.
776 0 8 _iPrint version:
_z9780521848169
830 0 _aLondon Mathematical Society student texts ;
_v66.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511615993
999 _c516573
_d516571