The Waring-Goldbach problem for cubes

Xiumin Ren

Acta Arithmetica (2000)

  • Volume: 94, Issue: 3, page 287-301
  • ISSN: 0065-1036

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Ren, Xiumin. "The Waring-Goldbach problem for cubes." Acta Arithmetica 94.3 (2000): 287-301. <http://eudml.org/doc/207432>.

@article{Ren2000,
author = {Ren, Xiumin},
journal = {Acta Arithmetica},
keywords = {circle method; sums of cubes; Waring-Goldbach problem},
language = {eng},
number = {3},
pages = {287-301},
title = {The Waring-Goldbach problem for cubes},
url = {http://eudml.org/doc/207432},
volume = {94},
year = {2000},
}

TY - JOUR
AU - Ren, Xiumin
TI - The Waring-Goldbach problem for cubes
JO - Acta Arithmetica
PY - 2000
VL - 94
IS - 3
SP - 287
EP - 301
LA - eng
KW - circle method; sums of cubes; Waring-Goldbach problem
UR - http://eudml.org/doc/207432
ER -

References

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  1. [1] D H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, Berlin, 1980. Zbl0453.10002
  2. [2] G P. X. Gallagher, Primes and powers of 2, Invent. Math. 29 (1975), 125-142. 
  3. [3] G. Harman, Trigonometric sums over primes (I), Mathematika 28 (1981), 249-254. Zbl0465.10029
  4. [4] L. K. Hua, Some results in additive prime number theory, Quart. J. Math. (Oxford) 9 (1938), 68-80. Zbl0018.29404
  5. [5] L. K. Hua, Additive Theory of Prime Numbers (in Chinese), Science Press, Beijing, 1957; English transl.: Amer. Math. Soc., Providence, RI, 1965. 
  6. [6] M. N. Huxley, Large values of Dirichlet polynomials, III, Acta Arith. 26 (1975), 435-444. 
  7. [7] M. Jutila, On Linnik's constant, Math. Scand. 41 (1977), 45-62. 
  8. [8] J. Y. Liu, M. C. Liu and T. Zhan, Squares of primes and powers of 2, Monatsh. Math. 128 (1999), 283-313. 
  9. [9] M. C. Liu and K. M. Tsang, Small prime solutions of linear equations, in: Théorie des Nombres, J. M. De Koninck and C. Levesque (eds.), de Gruyter, Berlin, 1989, 595-624. 
  10. [10] H. L. Montgomery and R. C. Vaughan, The exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370. Zbl0301.10043
  11. [11] P K. Prachar, Primzahlverteilung, Springer, Berlin, 1957. 
  12. [12] T E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Oxford Univ. Press, 1986. Zbl0601.10026
  13. [13] V R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Univ. Press, 1981. Zbl0455.10034
  14. [14] I. M. Vinogradov, Elements of Number Theory, Dover, 1954. Zbl0057.28201

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