Chen's theorem in short intervals

Ying Chun Cai; Ming Gao Lu

Acta Arithmetica (1999)

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

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Ying 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

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  1. [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. [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. [3] H. Iwaniec, Rosser's sieve, in: Recent Progress in Analytic Number Theory II, Academic Press, 1981, 203-230. 
  4. [4] C. H. Jia, Almost all short intervals containing prime numbers, Acta Arith. 76 (1996), 21-84. 
  5. [5] Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Peking, 1981 (in Chinese). 
  6. [6] S. Salerno and A. Vitolo, p+2 = P₂ in short intervals, Note Mat. 13 (1993), 309-328. 
  7. [7] J. Wu, Théorèmes generalisées de Bombieri-Vinogradov dans les petits intervalles, Quart. J. Math. (Oxford) 44 (1993), 109-128. 
  8. [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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