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著名的哥德巴赫猜想，到底在猜什么？( 五 )

哥德巴赫猜想


[6] Hardy, G. H. and Littlewood, J. E. (1923). Some Problems of Partitio Numerorum (III): On the expression of a number as a sum of primes. Acta Mathematica. 44: 1–70.
[7] Viggo Brun (1919). "La série 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/29 + 1/31 + 1/41 + 1/43 + 1/59 + 1/61 + ..., où les dénominateurs sont nombres premiers jumeaux est convergente ou finie". Bulletin des Sciences Mathématiques. 43: 100–104, 124–128.
[8] 王元 (1984). The Goldbach Conjecture. New Jersey: World Scientific.
[9] Halberstam, Heini and Richert, Hans-Egon. Sieve Methods. London Mathematical Society Monographs 4. London-New York: Academic Press. 1974.
[10] 潘承洞，潘承彪 (1981). 哥德巴赫猜想. 北京：科学出版社.
[11] Helfgott, H. A. (2013). Major arcs for Goldbach's problem. arXiv preprint arXiv:1305.2897.
[12] Rademacher, H. (1924, December). Beiträge zur viggo brunschen methode in der zahlentheorie. In Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Vol. 3, No. 1, pp. 12-30). Springer-Verlag.
[13] Estermann, T. (1932). Eine neue Darstellung und neue Anwendungen der Viggo Brunschen Methode. Journal für die reine und angewandte Mathematik, 1932(168), 106-116.
[14] Kuhn, P. (1941). Zur Viggo Brun'schen Siebmethode. I. Norske Vid. Selsk. Forh., Trondhjem, 14, 145-148.
[15] Selberg, A. (1984). On an elementary method in the theory of primes. In Goldbach Conjecture (pp. 151-154).
[16] "On the representation of even numbers as sums of a prime and an almost prime number,"Izv. Akad. Nauk. SSSR Ser. Mat., Vol. 12 (1948), pp. 57-78. (In Russian.)
[17] 陈景润. On the representation of a large even integer as the sum of a prime and the product of at most two primes. 科学通报（英文版）. 1966, (9): 385–386.
[18] 陈景润. 大偶数表为一个素数及一个不超过二个素数的乘积之和. 中国科学A辑. 1973, (2): 111–128.
[19] 徐迟. 哥德巴赫猜想. 人民文学. 1978, (1): 53–68.
[20] https://asone.ai/polymath/ index.php?title=Bounded _gaps _between_primes.

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