On Waring's problem for cubes.

R.C. Vaughan

Journal für die reine und angewandte Mathematik (1986)

  • Volume: 365, page 122-170
  • ISSN: 0075-4102; 1435-5345/e

How to cite

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Vaughan, R.C.. "On Waring's problem for cubes.." Journal für die reine und angewandte Mathematik 365 (1986): 122-170. <http://eudml.org/doc/152808>.

@article{Vaughan1986,
author = {Vaughan, R.C.},
journal = {Journal für die reine und angewandte Mathematik},
keywords = {sums of cubes; sums of eight cubes; asymptotic formula; number of representations of integers; lower bound; 7-cubes theorem; Hardy- Littlewood method; identity of Davenport; sums of three cubes},
pages = {122-170},
title = {On Waring's problem for cubes.},
url = {http://eudml.org/doc/152808},
volume = {365},
year = {1986},
}

TY - JOUR
AU - Vaughan, R.C.
TI - On Waring's problem for cubes.
JO - Journal für die reine und angewandte Mathematik
PY - 1986
VL - 365
SP - 122
EP - 170
KW - sums of cubes; sums of eight cubes; asymptotic formula; number of representations of integers; lower bound; 7-cubes theorem; Hardy- Littlewood method; identity of Davenport; sums of three cubes
UR - http://eudml.org/doc/152808
ER -

Citations in EuDML Documents

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  1. Hong Bing Yu, On Waring's problem with polynomial summands
  2. Kent D. Boklan, A reduction technique in Waring's problem, I
  3. W. K. A. Loh, Limitation to the asymptotic formula in Waring's problem
  4. Hongze Li, Diagonal cubic equations
  5. O. D. Atkinson, J. Brüdern, R. J. Cook, Three additive cubic equations
  6. William D. Banks, Ahmet M. Güloğlu, Robert C. Vaughan, Waring’s problem for Beatty sequences and a local to global principle
  7. Jörg Brüdern, A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem
  8. Jörg Brüdern, Koichi Kawada, Trevor D Wooley, Additive representation in thin sequences, I : Waring's problem for cubes
  9. Jean-Marc Deshouillers, L'étude des formes cubiques rationnelles via la méthode du cercle
  10. Jean-Marc Deshouillers, Study of rational cubic forms via the circle method [after D.R. Heath-Brown, C. Hooley, and R.C. Vaughan]

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