A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes

Jörg Brüdern

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 4, page 461-476
  • ISSN: 0012-9593

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Brüdern, Jörg. "A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes." Annales scientifiques de l'École Normale Supérieure 28.4 (1995): 461-476. <http://eudml.org/doc/82390>.

@article{Brüdern1995,
author = {Brüdern, Jörg},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {sieve; linear sieve with weights; Hardy-Littlewood circle method},
language = {eng},
number = {4},
pages = {461-476},
publisher = {Elsevier},
title = {A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes},
url = {http://eudml.org/doc/82390},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Brüdern, Jörg
TI - A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 4
SP - 461
EP - 476
LA - eng
KW - sieve; linear sieve with weights; Hardy-Littlewood circle method
UR - http://eudml.org/doc/82390
ER -

References

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  1. [1] J. BRÜDERN, Sieves, the circle method, and Waring's problem for cubes (Habilitationsschrift, Göttingen 1991 = Mathematica Gottingensis 51, 1991). 
  2. [2] H. DAVENPORT, On Waring's Problem for cubes (Acta Math., Vol. 71, 1939, pp. 123-143). Zbl0021.10601MR1,5cJFM65.0144.04
  3. [3] G. GREAVES, A weighted sieve of Brun's type (Acta Arith., Vol. 40, 1981, pp. 297-332). Zbl0412.10033MR83m:10082
  4. [4] G. GREAVES, Rosser's sieve with weights. Recent progress in analytic number theory, vol. I ; H. Halberstam, C. Hooley edts. Academic Press, London, 1981, pp. 61-68. Zbl0454.10027
  5. [5] G. GREAVES, The weighted linear sieve and Selberg's λ²-method (Acta Arith., Vol. 47, 1986, pp. 71-96). Zbl0549.10036MR88d:11086
  6. [6] H. HALBERSTAM and H. E. RICHERT, Sieve methods, Academic Press, London, 1974. Zbl0298.10026MR54 #12689
  7. [7] D. R. HEATH-BROWN, Three primes and an almost-prime in arithmetic progression (J. London Math. Soc., (2) Vol. 23, 1981, pp. 396-414). Zbl0425.10051MR82j:10074
  8. [8] L. K. HUA, Some results in additive prime number theory (Quart. J. Math. Oxford, Vol. 9, 1938, pp. 68-80). Zbl0018.29404JFM64.0131.02
  9. [9] F. K. ROTH, On Waring's problem for cubes (Proc. London Math. Soc., (2) Vol. 53, 1951, pp. 268-279). Zbl0043.27303MR13,112a
  10. [10] R. C. VAUGHAN, The Hardy-Littlewood method, University Press, Cambridge, 1981. Zbl0455.10034MR84b:10002
  11. [11] R. C. VAUGHAN, Some remarks on Weyl sums (Topics in classical number theory, Colloq. Math. Soc. J. Bolyai, North Holland, Amsterdam, Vol. 34, 1984, pp. 1585-1602). Zbl0545.10024MR86e:11067
  12. [12] R. C. VAUGHAN, Sums of three cubes (Bull. London Math. Soc., Vol. 17, 1985, pp. 17-20). Zbl0562.10022MR86j:11103
  13. [13] I. M. VINOGRADOV, Selected works, Springer, Berlin 1985. MR87a:01042

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