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Volumn 179, Issue 3, 2014, Pages 1121-1174

Bounded gaps between primes

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EID: 84897609913     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2014.179.3.7     Document Type: Article
Times cited : (381)

References (13)
  • 1
    • 0000189165 scopus 로고
    • Primes in arithmetic progressions to large moduli
    • MR0834613.Zbl0588.10042
    • E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli, Acta Math. 156 (1986), 203{251. MR 0834613. Zbl 0588.10042. http://dx.doi.org/10.1007/BF02399204.
    • (1986) Acta Math. , vol.156 , pp. 203-251
    • Bombieri, E.1    Friedlander, J.B.2    Iwaniec, H.3
  • 2
    • 0013476315 scopus 로고
    • Primes in arithmetic progressions to large moduli. II
    • MR 0891581.Zbl0625.10036
    • E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli. II, Math. Ann. 277 (1987), 361-393.MR0891581. Zbl 0625.10036. http://dx.doi.org/10.1007/BF01458321.
    • (1987) Math. Ann. , vol.277 , pp. 361-393
    • Bombieri, E.1    Friedlander, J.B.2    Iwaniec, H.3
  • 3
    • 84968515323 scopus 로고
    • Primes in arithmetic progressions to large
    • MR 0976723. Zbl 0674.10036
    • E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli. III, J. Amer. Math. Soc. 2 (1989), 215-224. MR 0976723. Zbl 0674.10036. http://dx.doi.org/10.2307/1990976.
    • (1989) moduli. III, J. Amer. Math. Soc. , vol.2 , pp. 215-224
    • Bombieri, E.1    Friedlander, J.B.2    Iwaniec, H.3
  • 4
    • 51649172369 scopus 로고
    • La conjecture de Weil. I, Inst. Hautes Études
    • MR0340258.Zbl 0287.14001
    • P. Deligne, La conjecture de Weil. I, Inst. Hautes Études Sci. Publ. Math. 43 (1974), 273-307. MR0340258.Zbl0287.14001. http://dx.doi.org/10.1007/BF02684373.
    • (1974) Sci. Publ. Math. , vol.43 , pp. 273-307
    • Deligne, P.1
  • 5
    • 0345277601 scopus 로고
    • Primes in arithmetic progressions
    • MR0719249.Zbl0517.10045.Available at
    • E. Fouvry and H. Iwaniec, Primes in arithmetic progressions, Acta Arith. 42 (1983), 197-218. MR0719249. Zbl 0517.10045. Available at http://pldml.icm. edu.pl/pldml/element/bwmeta1.element.bwnjournal-article-aav42i2p197bwm? q=bwmeta1.element.bwnjournal-number-aa-1982-1983-42-2;5&qt=CHILDREN-STATELESS.
    • (1983) Acta Arith. , vol.42 , pp. 197-218
    • Fouvry, E.1    Iwaniec, H.2
  • 6
    • 0010168125 scopus 로고
    • Incomplete Kloosterman sums and a divisor problem
    • MR0786351.Zbl0572.10029
    • J.B. Friedlander and H. Iwaniec, Incomplete Kloosterman sums and a divisor problem, Ann. of Math.121 (1985), 319-350.MR0786351.Zbl0572.10029.http://dx.doi.org/10.2307/1971175.
    • (1985) Ann. of Math. , vol.121 , pp. 319-350
    • Friedlander, J.B.1    Iwaniec, H.2
  • 7
    • 71449097991 scopus 로고    scopus 로고
    • Primes in
    • MR 2552109.Zbl1207.11096
    • D.A. Goldston, J. Pintz, and C.Y. Yildirim, Primes in tuples. I, Ann. of Math.170 (2009), 819-862.MR 2552109.Zbl 1207.11096.http://dx.doi.org/10.4007/annals.2009.170.819.[8] D.A. Goldston, J. Pintz, and C.Y. Yildirim, Primes in tuples. II, Acta
    • (2009) tuples. I, Ann. of Math. , vol.170 , pp. 819-862
    • Goldston, D.A.1    Pintz, J.2    Yildirim, C.Y.3
  • 8
    • 77449143738 scopus 로고    scopus 로고
    • Primes in tuples. II
    • MR 2600432.Zbl1207.11097
    • D.A. Goldston, J. Pintz, and C.Y. Yildirim, Primes in tuples. II, Acta Math.204 (2010), 1-47.MR 2600432.Zbl1207.11097.http://dx.doi.org/10.1007/s11511-010-0044-9.
    • (2010) Acta. Math. , vol.204 , pp. 1-47
    • Goldston, D.A.1    Pintz, J.2    Yildirim, C.Y.3
  • 9
    • 0001447117 scopus 로고
    • Prime numbers in short intervals and a generalized Vaughan identity
    • MR0678676.Zbl0478.10024
    • D.R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan identity, Canad. J. Math.34 (1982), 1365-1377.MR0678676.Zbl0478.10024.http://dx.doi.org/10.4153/CJM-1982-095-9.
    • (1982) Canad. J. Math. , vol.34 , pp. 1365-1377
    • Heath-Brown, D.R.1
  • 10
    • 56449120659 scopus 로고
    • The divisor function d3(n) in arithmetic progressions
    • MR0866901.Zbl0549.10034.Available at
    • D.R. Heath-Brown, The divisor function d3(n) in arithmetic progressions, Acta Arith.47 (1986), 29-56.MR0866901.Zbl0549.10034.Available at http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-article-aav47i1p29bwm?q=bwmeta1.element.bwnjournal-number-aa-1986-47-1;2&qt=CHILDREN-STATELESS.
    • (1986) Acta Arith. , vol.47 , pp. 29-56
    • Heath-Brown, D.R.1
  • 11
    • 0001617433 scopus 로고
    • A new form of the error term in the linear sieve
    • MR0598883.Zbl0444.10038.Available at
    • H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith.37 (1980), 307-320.MR0598883.Zbl0444.10038.Available at http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-article-aav37i1p307bwm?q=bwmeta1.element.bwnjournal-number-aa-1980-37-1;26&qt=CHILDREN-STATELESS.
    • (1980) Acta. Arith. , vol.37 , pp. 307-320
    • Iwaniec, H.1
  • 12
    • 0011348498 scopus 로고
    • A Brun-Titchmarsh theorem for multiplicative functions
    • MR0552470.Zbl0412.10030
    • P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math.313 (1980), 161-170.MR0552470.Zbl0412.10030.http://dx.doi.org/10.1515/crll.1980.313.161.
    • (1980) J. Reine Angew. Math. , vol.313 , pp. 161-170
    • Shiu, P.1
  • 13
    • 41849134336 scopus 로고    scopus 로고
    • Small gaps between prime numbers: the work of Goldston- Pintz-Yildirim
    • MR 2265008.Zbl1193.11086
    • K. Soundararajan, Small gaps between prime numbers: the work of Goldston- Pintz-Yildirim, Bull. Amer. Math. Soc.44 (2007), 1-18.MR 2265008.Zbl1193.11086.http://dx.doi.org/10.1090/S0273-0979-06-01142-6.
    • (2007) Bull. Amer. Math. Soc. , vol.44 , pp. 1-18
    • Soundararajan, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.