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

Hongze Li

Acta Arithmetica (2000)

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

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Hongze 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

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  1. [1] J. R. Chen and J. M. Liu, The exceptional set of Goldbach numbers (III), Chinese Quart. J. Math. 4 (1989), 1-15. 
  2. [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. [3] H. Z. Li, Zero-free regions for Dirichlet L-functions, Quart. J. Math. Oxford 50 (1999), 13-23. Zbl0934.11042
  4. [4] H. Z. Li, The exceptional set of Goldbach numbers, ibid. 50 (1999), 471-482. Zbl0937.11046
  5. [5] H. Z. Li, The exceptional set of Goldbach numbers ( II), Acta Arith. 92 (2000), 71-88. Zbl0963.11057
  6. [6] Yu. V. Linnik, Prime numbers and powers of two, Trudy Mat. Inst. Steklov. 38 (1951), 151-169 (in Russian). 
  7. [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. [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. [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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