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Sieve theory
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==Literature== * {{citation | last1= Cojocaru | first1 = Alina Carmen|author1-link= Alina Carmen Cojocaru | last2= Murty | first2= M. Ram | author-link2 = M. Ram Murty | title= An introduction to sieve methods and their applications | publisher= [[Cambridge University Press]] | year= 2006 | isbn= 0-521-84816-4 | series= London Mathematical Society Student Texts | volume= 66 | mr= 2200366 }} *{{citation | last=Motohashi | first=Yoichi |title=Lectures on Sieve Methods and Prime Number Theory | series=Tata Institute of Fundamental Research Lectures on Mathematics and Physics | volume=72 | publisher=[[Springer-Verlag]] | date=1983 | isbn=3-540-12281-8 | location=Berlin | mr=0735437}} * {{citation | last=Greaves | first=George | title=Sieves in number theory | series=Ergebnisse der Mathematik und ihrer Grenzgebiete (3) | volume=43 | publisher=[[Springer-Verlag]] | year=2001 | isbn=3-540-41647-1 | location=Berlin | mr=1836967 | doi=10.1007/978-3-662-04658-6}} * {{cite book | last=Harman | first=Glyn | author-link=Glyn Harman | title=Prime-detecting sieves | series=London Mathematical Society Monographs | volume=33 | publisher=Princeton University Press | year=2007 | isbn=978-0-691-12437-7 | zbl=1220.11118 | mr=2331072 | location=Princeton, NJ}} * {{cite book | first1=Heini | last1=Halberstam | author-link1=Heini Halberstam | first2=Hans-Egon | last2=Richert | author-link2=Hans-Egon Richert | title=Sieve Methods | publisher=[[Academic Press]] | date=1974 | isbn=0-12-318250-6 | location=London-New York | mr=0424730 | series=London Mathematical Society Monographs | volume=4}} * {{citation | last1=Iwaniec | first1=Henryk | author-link1=Henryk Iwaniec | last2=Friedlander |first2= John | author-link2=John Friedlander | title=Opera de cribro | publisher=[[American Mathematical Society]] | date=2010 | isbn=978-0-8218-4970-5 | mr=2647984 | location=Providence, RI | series=American Mathematical Society Colloquium Publications | volume=57}} * {{citation | last=Hooley | first=Christopher | author-link=Christopher Hooley | title=Applications of sieve methods to the theory of numbers | publisher=[[Cambridge University Press]] | date=1976 | isbn=0-521-20915-3 | series=Cambridge Tracts in Mathematics | volume=70 | location=Cambridge-New York-Melbourne | mr=0404173}} * {{cite journal | title=Small gaps between primes | last=Maynard | first=James | author-link=James Maynard (mathematician) | year=2015 | journal=[[Annals of Mathematics]] | volume=181 | issue=1 | pages=383β413 | mr=3272929 | doi=10.4007/annals.2015.181.1.7 | arxiv=1311.4600 }} * {{citation | title=Introduction to Analytic and Probabilistic Number Theory | first=GΓ©rald | last=Tenenbaum | series=Cambridge studies in advanced mathematics | volume=46 | publisher=[[Cambridge University Press]] | year=1995 | isbn=0-521-41261-7 | pages=56β79 | mr=1342300 | others=Translated from the second French edition (1995) by C. B. Thomas }} * {{cite journal | title = Bounded gaps between primes | first = Yitang | last = Zhang | author-link=Yitang Zhang | journal = [[Annals of Mathematics]] | year=2014 | volume=179 | issue=3 | pages=1121β1174 | doi=10.4007/annals.2014.179.3.7 | mr=3171761 | doi-access=free }}
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