A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem
Jörg Brüdern
Acta Arithmetica, Tome 69 (1995), p. 211-227 / Harvested from The Polish Digital Mathematics Library
Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:206792
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     author = {J\"org Br\"udern},
     title = {A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem},
     journal = {Acta Arithmetica},
     volume = {69},
     year = {1995},
     pages = {211-227},
     zbl = {0839.11046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav72i3p211bwm}
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Jörg Brüdern. A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem. Acta Arithmetica, Tome 69 (1995) pp. 211-227. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav72i3p211bwm/

[000] [1] J. Brüdern, On Waring's problem for fifth powers and some related topics, Proc. London Math. Soc. (3) 61 (1990), 457-479. | Zbl 0677.10036

[001] [2] J. Brüdern, Sieves, the circle method, and Waring's problem for cubes, Habilitationsschrift, Göttingen 1991; Mathematica Gottingensis 51 (1991).

[002] [3] J. Brüdern, A note on cubic exponential sums, in: Séminaire de Théorie des Nombres, Paris 1990-91, S. David (ed.), Progr. Math. 108, Birkhäuser, Basel, 1992, 23-34. | Zbl 0815.11040

[003] [4] J. Brüdern, A sieve approach to the Waring-Goldbach problem I: Sums of four cubes, Ann. Sci. École Norm. Sup. Paris, to appear. | Zbl 0839.11045

[004] [5] J. Brüdern and E. Fouvry, Lagrange's four squares theorem with almost prime variables, J. Reine Angew. Math. 454 (1994), 59-96. | Zbl 0809.11060

[005] [6] G. Greaves, A weighted sieve of Brun's type, Acta Arith. 40 (1981), 297-332. | Zbl 0412.10033

[006] [7] L. K. Hua, Some results in additive prime number theory, Quart. J. Math. Oxford 9 (1938), 68-80. | Zbl 0018.29404

[007] [8] L. K. Hua, Additive Theory of Prime Numbers, Providence, R. I., 1965. | Zbl 0192.39304

[008] [9] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge University Press, 1981. | Zbl 0455.10034

[009] [10] R. C. Vaughan, Some remarks on Weyl sums, in: Topics in Classical Number Theory, Colloq. Math. Soc. János Bolyai 34, North-Holland, Amsterdam, 1984.

[010] [11] R. C. Vaughan, On Waring's problem for cubes, J. Reine Angew. Math. 365 (1986), 121-170. | Zbl 0574.10046

[011] [12] R. C. Vaughan, On Waring's problem for cubes II, J. London Math. Soc. (2) 39 (1989), 205-218. | Zbl 0677.10034

[012] [13] R. C. Vaughan, A new iterative method in Waring's problem, Acta Math. 162 (1989), 1-71. | Zbl 0665.10033

[013] [14] G. L. Watson, A proof of the seven cubes theorem, J. London Math. Soc. 26 (1951), 153-156. | Zbl 0042.04101

[014] [15] T. D. Wooley, Large improvements in Waring's problem, Ann. of Math. 135 (1992), 131-146 | Zbl 0754.11026