A special case of Vinogradov's mean value theorem

• Autorzy: R. C. Vaughan , T. D. Wooley
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 79
• Numer: 3
• Strony: 193-204

Daty

wydano

1997

otrzymano

1996-02-11

Twórcy

autor

R. C. Vaughan

• Mathematics Department, Huxley Building, Imperial College, 180 Queen's Gate, London, SW7 2BZ, U.K.

autor

T. D. Wooley

• Mathematics Department, University of Michigan, Ann Arbor, Michigan 48109-1003, U.S.A.

Bibliografia

• [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.
• [2] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., 4th reprint, Clarendon Press, Oxford, 1989.
• [3] L.-K. Hua, Additive Theory of Prime Numbers, Amer. Math. Soc., Providence, 1965.
• [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).
• [5] R. C. Vaughan and T. D. Wooley, On a certain nonary cubic form and related equations, Duke Math. J. 80 (1995), 669-735.
• [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.