Chú thích Giả_thuyết_Elliott–Halberstam

  1. Elliott, Peter D. T. A.; Halberstam, Heini (1970). “A conjecture in prime number theory”. Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69). London: Academic Press. tr. 59–72. MR 0276195.
  2. Bombieri, Enrico (1965). “On the large sieve”. Mathematika. 12 (2): 201–225. doi:10.1112/s0025579300005313. MR 0197425.
  3. Vinogradov, Askold Ivanovich (1965). “The density hypothesis for Dirichlet L-series”. Izv. Akad. Nauk SSSR Ser. Mat. (bằng tiếng Nga). 29 (4): 903–934. MR 0197414. Corrigendum. ibid. 30 (1966), pages 719-720. (Russian)
  4. Friedlander, John; Granville, Andrew (1989). “Limitations to the equi-distribution of primes I”. Annals of Mathematics. 129 (2): 363–382. doi:10.2307/1971450. JSTOR 1971450. MR 0986796.
  5. Goldston, D. A.; Pintz, J.; Yıldırım, C. Y. (2009). “Primes in Tuples I”. Annals of Mathematics. Second Series. 170 (2): 819–862. arXiv:math.NT/0508185. doi:10.4007/annals.2009.170.819.
    Goldston, D. A.; Motohashi, Y.; Pintz, J.; Yıldırım, C. Y. (tháng 4 năm 2006). “Small Gaps between Primes Exist”. Proceedings of the Japan Academy, Series A, Mathematical Sciences. 82 (4): 61–65. arXiv:math.NT/0505300. doi:10.3792/pjaa.82.61.
    Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y. (2009). “Small gaps between primes or almost primes”. Transactions of the American Mathematical Society. 361 (10): 5285–5330. arXiv:math.NT/0506067. doi:10.1090/S0002-9947-09-04788-6.
  6. Soundararajan, Kannan (2007). “Small gaps between prime numbers: The work of Goldston–Pintz–Yıldırım”. Bulletin of the American Mathematical Society. 44 (1): 1–18. arXiv:math/0605696. doi:10.1090/S0273-0979-06-01142-6. MR 2265008. S2CID 119611838.
  7. Maynard, James (2015). “Small gaps between primes”. Annals of Mathematics. 181 (1): 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. MR 3272929. S2CID 55175056.
  8. D.H.J. Polymath (2014). “Variants of the Selberg sieve, and bounded intervals containing many primes”. Research in the Mathematical Sciences. 1 (12). arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710. S2CID 119699189.

Tài liệu tham khảo

WikiPedia: Giả_thuyết_Elliott–Halberstam http://www.ams.org/mathscinet-getitem?mr=0276195 http://www.ams.org/mathscinet-getitem?mr=0276195 http://doi.org/10.1112%2Fs0025579300005313 http://doi.org/10.1112%2Fs0025579300005313 http://www.ams.org/mathscinet-getitem?mr=0197425 http://www.ams.org/mathscinet-getitem?mr=0197425 http://www.ams.org/mathscinet-getitem?mr=0197414 http://www.ams.org/mathscinet-getitem?mr=0197414 http://doi.org/10.2307%2F1971450 http://doi.org/10.2307%2F1971450