# The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes

Acta Arithmetica (2000)

- Volume: 92, Issue: 3, page 229-237
- ISSN: 0065-1036

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top## How to cite

topHongze Li. "The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes." Acta Arithmetica 92.3 (2000): 229-237. <http://eudml.org/doc/207384>.

@article{HongzeLi2000,

author = {Hongze Li},

journal = {Acta Arithmetica},

keywords = {circle method; sums of primes; powers of 2; Dirichlet -functions},

language = {eng},

number = {3},

pages = {229-237},

title = {The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes},

url = {http://eudml.org/doc/207384},

volume = {92},

year = {2000},

}

TY - JOUR

AU - Hongze Li

TI - The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes

JO - Acta Arithmetica

PY - 2000

VL - 92

IS - 3

SP - 229

EP - 237

LA - eng

KW - circle method; sums of primes; powers of 2; Dirichlet -functions

UR - http://eudml.org/doc/207384

ER -

## References

top- [1] J. R. Chen and J. M. Liu, The exceptional set of Goldbach numbers (III), Chinese Quart. J. Math. 4 (1989), 1-15.
- [2] D. R. Heath-Brown, Zero-free regions for Dirichlet L-functions, and the least prime in an arithmetic progression, Proc. London Math. Soc. (3) 64 (1992), 265-338. Zbl0739.11033
- [3] H. Z. Li, Zero-free regions for Dirichlet L-functions, Quart. J. Math. Oxford 50 (1999), 13-23. Zbl0934.11042
- [4] H. Z. Li, The exceptional set of Goldbach numbers, ibid. 50 (1999), 471-482. Zbl0937.11046
- [5] H. Z. Li, The exceptional set of Goldbach numbers ( II), Acta Arith. 92 (2000), 71-88. Zbl0963.11057
- [6] Yu. V. Linnik, Prime numbers and powers of two, Trudy Mat. Inst. Steklov. 38 (1951), 151-169 (in Russian).
- [7] Yu. V. Linnik, Addition of prime numbers and powers of one and the same number, Mat. Sb. 32 (1953), 3-60 (in Russian).
- [8] J. Y. Liu, M. C. Liu and T. Z. Wang, The number of powers of 2 in a representation of large even integers ( II), Sci. in China 41 (1998), 1255-1271. Zbl0924.11086
- [9] H. L. Montgomery and R. C. Vaughan, On the exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370. Zbl0301.10043

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