# A special case of Vinogradov's mean value theorem

Acta Arithmetica (1997)

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

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top## How to cite

topR. 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>.

@article{R1997,

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},

}

TY - JOUR

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 -

## References

top- [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] 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] L.-K. Hua, Additive Theory of Prime Numbers, Amer. Math. Soc., Providence, 1965. Zbl0192.39304
- [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] 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] I. M. Vinogradov, Selected Works, Springer, Berlin, 1985.
- [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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