# Chen's theorem in short intervals

Acta Arithmetica (1999)

- Volume: 91, Issue: 4, page 311-323
- ISSN: 0065-1036

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top## How to cite

topYing Chun Cai, and Ming Gao Lu. "Chen's theorem in short intervals." Acta Arithmetica 91.4 (1999): 311-323. <http://eudml.org/doc/207358>.

@article{YingChunCai1999,

author = {Ying Chun Cai, Ming Gao Lu},

journal = {Acta Arithmetica},

keywords = {representations of large even integers; sum of a prime and an almost prime; Chen's theorem; sieve methods; weighted sieve},

language = {eng},

number = {4},

pages = {311-323},

title = {Chen's theorem in short intervals},

url = {http://eudml.org/doc/207358},

volume = {91},

year = {1999},

}

TY - JOUR

AU - Ying Chun Cai

AU - Ming Gao Lu

TI - Chen's theorem in short intervals

JO - Acta Arithmetica

PY - 1999

VL - 91

IS - 4

SP - 311

EP - 323

LA - eng

KW - representations of large even integers; sum of a prime and an almost prime; Chen's theorem; sieve methods; weighted sieve

UR - http://eudml.org/doc/207358

ER -

## References

top- [1] J. R. Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, Kexue Tongbao (Chinese) 17 (1966), 385-386.
- [2] J. R. Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, Sci. Sinica 16 (1973), 157-176; II, Sci. Sinica 21 (1978), 477-494 (in Chinese). Zbl0319.10056
- [3] H. Iwaniec, Rosser's sieve, in: Recent Progress in Analytic Number Theory II, Academic Press, 1981, 203-230.
- [4] C. H. Jia, Almost all short intervals containing prime numbers, Acta Arith. 76 (1996), 21-84.
- [5] Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Peking, 1981 (in Chinese).
- [6] S. Salerno and A. Vitolo, p+2 = P₂ in short intervals, Note Mat. 13 (1993), 309-328.
- [7] J. Wu, Théorèmes generalisées de Bombieri-Vinogradov dans les petits intervalles, Quart. J. Math. (Oxford) 44 (1993), 109-128.
- [8] J. Wu, Sur l'équation p+2 = P₂ dans les petits intervalles, J. London Math. Soc. (2) 49 (1994), 61-72.

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