A special case of Vinogradov's mean value theorem
R. C. Vaughan ; T. D. Wooley
Acta Arithmetica, Tome 80 (1997), p. 193-204 / Harvested from The Polish Digital Mathematics Library
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     author = {R. C. Vaughan and T. D. Wooley},
     title = {A special case of Vinogradov's mean value theorem},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {193-204},
     zbl = {0887.11042},
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R. C. Vaughan; T. D. Wooley. A special case of Vinogradov's mean value theorem. Acta Arithmetica, Tome 80 (1997) pp. 193-204. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav79i3p193bwm/

[000] [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. | Zbl 0578.01029

[001] [2] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., 4th reprint, Clarendon Press, Oxford, 1989. | Zbl 0020.29201

[002] [3] L.-K. Hua, Additive Theory of Prime Numbers, Amer. Math. Soc., Providence, 1965. | Zbl 0192.39304

[003] [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). | Zbl 0648.10010

[004] [5] R. C. Vaughan and T. D. Wooley, On a certain nonary cubic form and related equations, Duke Math. J. 80 (1995), 669-735. | Zbl 0847.11052

[005] [6] I. M. Vinogradov, Selected Works, Springer, Berlin, 1985.

[006] [7] T. D. Wooley, Quasi-diagonal behaviour in certain mean value theorems of additive number theory, J. Amer. Math. Soc. 7 (1994), 221-245. | Zbl 0786.11053