A special case of Vinogradov's mean value theorem

R. C. Vaughan; T. D. Wooley

Acta Arithmetica (1997)

  • Volume: 79, Issue: 3, page 193-204
  • ISSN: 0065-1036

How to cite


R. C. Vaughan, and T. D. Wooley. "A special case of Vinogradov's mean value theorem." Acta Arithmetica 79.3 (1997): 193-204. <http://eudml.org/doc/206975>.

author = {R. C. Vaughan, T. D. Wooley},
journal = {Acta Arithmetica},
keywords = {Vinogradov mean value theorem; Waring's problem; paucity; asymptotic result},
language = {eng},
number = {3},
pages = {193-204},
title = {A special case of Vinogradov's mean value theorem},
url = {http://eudml.org/doc/206975},
volume = {79},
year = {1997},

AU - R. C. Vaughan
AU - T. D. Wooley
TI - A special case of Vinogradov's mean value theorem
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 3
SP - 193
EP - 204
LA - eng
KW - Vinogradov mean value theorem; Waring's problem; paucity; asymptotic result
UR - http://eudml.org/doc/206975
ER -


  1. [1] J. W. S. Cassels and R. C. Vaughan, Obituary: Ivan Matveevich Vinogradov, Bull. London Math. Soc. 17 (1985), 584-600; see Biogr. Mem. Fellows Royal Society 31 (1985), 613-631. Zbl0578.01029
  2. [2] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., 4th reprint, Clarendon Press, Oxford, 1989. Zbl0020.29201
  3. [3] L.-K. Hua, Additive Theory of Prime Numbers, Amer. Math. Soc., Providence, 1965. Zbl0192.39304
  4. [4] N. N. Rogovskaya, An asymptotic formula for the number of solutions of a system of equations, in: Diophantine Approximations, Part II, Moskov. Gos. Univ., Moscow, 1986, 78-84 (in Russian). Zbl0648.10010
  5. [5] R. C. Vaughan and T. D. Wooley, On a certain nonary cubic form and related equations, Duke Math. J. 80 (1995), 669-735. Zbl0847.11052
  6. [6] I. M. Vinogradov, Selected Works, Springer, Berlin, 1985. 
  7. [7] T. D. Wooley, Quasi-diagonal behaviour in certain mean value theorems of additive number theory, J. Amer. Math. Soc. 7 (1994), 221-245. Zbl0786.11053

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