Additive representation in thin sequences, I : Waring's problem for cubes

Jörg Brüdern; Koichi Kawada; Trevor D Wooley

Annales scientifiques de l'École Normale Supérieure (2001)

  • Volume: 34, Issue: 4, page 471-501
  • ISSN: 0012-9593

How to cite

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Brüdern, Jörg, Kawada, Koichi, and Wooley, Trevor D. "Additive representation in thin sequences, I : Waring's problem for cubes." Annales scientifiques de l'École Normale Supérieure 34.4 (2001): 471-501. <http://eudml.org/doc/82548>.

@article{Brüdern2001,
author = {Brüdern, Jörg, Kawada, Koichi, Wooley, Trevor D},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {exceptional sets; sparse sequences; sums of cubes},
language = {eng},
number = {4},
pages = {471-501},
publisher = {Elsevier},
title = {Additive representation in thin sequences, I : Waring's problem for cubes},
url = {http://eudml.org/doc/82548},
volume = {34},
year = {2001},
}

TY - JOUR
AU - Brüdern, Jörg
AU - Kawada, Koichi
AU - Wooley, Trevor D
TI - Additive representation in thin sequences, I : Waring's problem for cubes
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2001
PB - Elsevier
VL - 34
IS - 4
SP - 471
EP - 501
LA - eng
KW - exceptional sets; sparse sequences; sums of cubes
UR - http://eudml.org/doc/82548
ER -

References

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  3. [3] Brüdern J., Kawada K., Wooley T.D., Additive representation in thin sequences, II: the binary Goldbach problem, Mathematika, to appear. Zbl1023.11053MR1924492
  4. [4] Brüdern J., Kawada K., Wooley T.D., Additive representation in thin sequences, III: asymptotic formulae, Acta Arith., to appear. Zbl0995.11055MR1865386
  5. [5] Brüdern J., Kawada K., Wooley T.D., Additive representation in thin sequences, IV: lower bound methods, Quart. J. Math. Oxford, to appear. Zbl1037.11062MR1874488
  6. [6] Brüdern J., Kawada K., Wooley T.D., Additive representation in thin sequences, V: mixed problems of Waring's type, Math. Scand., to appear. Zbl1023.11052MR1973942
  7. [7] Brüdern J, Watt N, On Waring's problem for four cubes, Duke Math. J.77 (1995) 583-606. Zbl0828.11051MR1324635
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  11. [11] Hardy G.H, Littlewood J.E, Some problems of “Partitio Numerorum”. I, A new solution of Waring's problem, Göttinger Nachrichten (1920) 33-54. Zbl47.0114.02JFM47.0114.02
  12. [12] Kawada K, On the sum of four cubes, Mathematika43 (1996) 323-348. Zbl0879.11051MR1433279
  13. [13] Linnik J.V, On the representation of large numbers as sums of seven cubes, Mat. Sbornik12 (1943) 218-224. Zbl0063.03579MR9388
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  17. [17] Vaughan R.C, The Hardy–Littlewood Method, Cambridge University Press, Cambridge, 1997. Zbl0868.11046
  18. [18] Vaughan R.C, Wooley T.D, On Waring's problem: some refinements, Proc. London Math. Soc.63 (3) (1991) 35-68. Zbl0736.11058MR1105718
  19. [19] Watson G.L, A proof of the seven cube theorem, J. London Math. Soc.26 (1951) 153-156. Zbl0042.04101MR47691
  20. [20] Wooley T.D, On simultaneous additive equations, II, J. Reine Angew. Math.419 (1991) 141-198. Zbl0721.11011MR1116923
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  22. [22] Wooley T.D, Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour, Invent. Math.122 (1995) 421-451. Zbl0851.11055MR1359599

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