# A generalization of the Goldbach-Vinogradov theorem

Acta Arithmetica (1995)

- Volume: 71, Issue: 2, page 95-106
- ISSN: 0065-1036

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topT. Zhan. "A generalization of the Goldbach-Vinogradov theorem." Acta Arithmetica 71.2 (1995): 95-106. <http://eudml.org/doc/206768>.

@article{T1995,

author = {T. Zhan},

journal = {Acta Arithmetica},

keywords = {circle method; Iwaniec's linear sieve},

language = {eng},

number = {2},

pages = {95-106},

title = {A generalization of the Goldbach-Vinogradov theorem},

url = {http://eudml.org/doc/206768},

volume = {71},

year = {1995},

}

TY - JOUR

AU - T. Zhan

TI - A generalization of the Goldbach-Vinogradov theorem

JO - Acta Arithmetica

PY - 1995

VL - 71

IS - 2

SP - 95

EP - 106

LA - eng

KW - circle method; Iwaniec's linear sieve

UR - http://eudml.org/doc/206768

ER -

## References

top- [1] P. X. Gallagher, A large sieve density estimate near σ=1, Invent. Math. 11 (1970), 329-339. Zbl0219.10048
- [2] H. Halberstam and H.-E. Richert, Sieve Method, Academic Press, 1974.
- [3] G. Harman, Primes in short intervals, Math. Z. 180 (1982), 335-348. Zbl0482.10040
- [4] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320. Zbl0444.10038
- [5] C. Jia, Three primes theorem in short intervals, to appear. Zbl0688.10044
- [6] H. Mikawa, On the exceptional set in Goldbach problem, to appear. Zbl0778.11054
- [7] Chengdong Pan, Some new results in additive number theory, Acta Math. Sinica 9 (1959), 315-329.
- [8] Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Peking, 1981.
- [9] B. Saffari and R. C. Vaughan, On the fractional parts of x/n and related sequences II, Ann. Inst. Fourier (Grenoble) 27 (1977), 1-30. Zbl0379.10023

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