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The representation of numbers as sums of unlike powers. II
Author(s):
Kevin
B.
Ford
Journal:
J. Amer. Math. Soc.
9
(1996),
919-940.
MSC (1991):
Primary 11P05
Corrigenda:
J. Amer. Math. Soc. 12 (1999), no. 4, 1213.
Addenda:
J. Amer. Math. Soc. 12 (1999), no. 4, 1213.
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Additional information
References:
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- Brüdern, J., A problem in additive number theory, Math. Proc. Cambridge Philos. Soc. 103 (1) (1988), 27--33. MR 89c:11150
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and free of prime factors , Nederl. Acad. Wetensch. Proc. Ser. A. 54 (1951), 50--60. MR 13:724e - [Fo]
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- Freiman, G. A., Solution to Waring's problem in a new form, Uspekhi Mat. Nauk, no. 1, 4 (29) (1949), 193. MR 11:162a
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- Hardy, G. H. and Littlewood, J. E., Some problems of ``Partitio Numerorum'' : VI. Further researches in Waring's problem, Math. Z. 23 (1925), 1--37.
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, Proc. Edinburgh Math. Soc. (2) 15 (1967), 215--219. MR 35:4179 - [Sc]
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- Vaughan, R. C., The Hardy-Littlewood method, University Press, Cambridge, 1981. MR 84b:10002
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- ------, Some remarks on Weyl sums, Topics in Classical Number Theory, Colloq. Math. Soc. Janos Bolyai, vol. 34, Elsevier North-Holland, 1984, pp. 1585--1602. MR 86e:11067
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- ------, A new iterative method in Waring's problem, Acta Math. 162 (1989), 1--71. MR 90c:11072
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- ------, A new iterative method in Waring's problem, II, J. London Math. Soc. (2) 39 (1989), 219--230. MR 90c:11074
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- Vaughan, R. C., and Wooley, T. D., On Waring's problem: some refinements, Proc. London Math. Soc. (3) 63 (1991), 35--68. MR 92f:11133
- [VW2]
- ------, Further improvements in Waring's problem, Acta Math. 174 (1995), 147--240. CMP 96:01
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- Wooley, T. D., Large improvements in Waring's problem, Annals of Math. 135 (1992), 131--164. MR 93b:11129
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- ------, The application of a new mean value theorem to the fractional parts of polynomials, Acta Arith. 65 (1993), 163--179. MR 94h:11064
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Additional Information:
Kevin
B.
Ford
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
Address at time of publication:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
Email:
ford@math.utexas.edu
DOI:
10.1090/S0894-0347-96-00193-2
PII:
S 0894-0347(96)00193-2
Received by editor(s):
August 18, 1994
Received by editor(s) in revised form:
March 31, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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