A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 28 (1995) no. 4, pp. 461-476.
@article{ASENS_1995_4_28_4_461_0,
     author = {Br\"udern, J\"org},
     title = {A sieve approach to the {Waring-Goldbach} problem. {I.} {Sums} of four cubes},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {461--476},
     publisher = {Elsevier},
     volume = {Ser. 4, 28},
     number = {4},
     year = {1995},
     doi = {10.24033/asens.1721},
     mrnumber = {96e:11126},
     zbl = {0839.11045},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1721/}
}
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
SP  - 461
EP  - 476
VL  - 28
IS  - 4
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.24033/asens.1721/
DO  - 10.24033/asens.1721
LA  - en
ID  - ASENS_1995_4_28_4_461_0
ER  - 
%0 Journal Article
%A Brüdern, Jörg
%T A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
%J Annales scientifiques de l'École Normale Supérieure
%D 1995
%P 461-476
%V 28
%N 4
%I Elsevier
%U http://www.numdam.org/articles/10.24033/asens.1721/
%R 10.24033/asens.1721
%G en
%F ASENS_1995_4_28_4_461_0
Brüdern, Jörg. A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 28 (1995) no. 4, pp. 461-476. doi : 10.24033/asens.1721. http://www.numdam.org/articles/10.24033/asens.1721/

[1] J. Brüdern, Sieves, the circle method, and Waring's problem for cubes (Habilitationsschrift, Göttingen 1991 = Mathematica Gottingensis 51, 1991).

[2] H. Davenport, On Waring's Problem for cubes (Acta Math., Vol. 71, 1939, pp. 123-143). | JFM | MR | Zbl

[3] G. Greaves, A weighted sieve of Brun's type (Acta Arith., Vol. 40, 1981, pp. 297-332). | MR | Zbl

[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. | Zbl

[5] G. Greaves, The weighted linear sieve and Selberg's λ²-method (Acta Arith., Vol. 47, 1986, pp. 71-96). | MR | Zbl

[6] H. Halberstam and H. E. Richert, Sieve methods, Academic Press, London, 1974. | MR | Zbl

[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). | MR | Zbl

[8] L. K. Hua, Some results in additive prime number theory (Quart. J. Math. Oxford, Vol. 9, 1938, pp. 68-80). | JFM | Zbl

[9] F. K. Roth, On Waring's problem for cubes (Proc. London Math. Soc., (2) Vol. 53, 1951, pp. 268-279). | MR | Zbl

[10] R. C. Vaughan, The Hardy-Littlewood method, University Press, Cambridge, 1981. | MR | Zbl

[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). | MR | Zbl

[12] R. C. Vaughan, Sums of three cubes (Bull. London Math. Soc., Vol. 17, 1985, pp. 17-20). | MR | Zbl

[13] I. M. Vinogradov, Selected works, Springer, Berlin 1985. | MR

Cited by Sources: