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Original Articles

Sums of Squares, Cubes, and Higher Powers

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Pages 169-173 | Published online: 03 Apr 2012

REFERENCES

  • Cohn , J. H. E. and Mordell , L. J. 1972 . “On sums of four cubes of polynomials” . J. London Math. Soc. , 5 : 74 – 78 . [Cohn and Mordell 1972]
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  • Davenport , H. and Heilbronn , H. 1937 . “Note on the additive theory of numbers” . Proc. London Math. Soc. , 43 : 142 – 151 . [Davenport and Heilbronn 1937b]
  • Duke , W. and Schulze-Pillot , R. 1990 . “Representations of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids” . Inv. Math. , 99 : 49 – 57 . [Duke and Schulze-Pillot 1990]
  • Elkies , N. and Kaplansky , I. 1995 . Problem 10426 . Amer. Math. Monthly , 102 Jan. : 70 [Elkies and Kaplansky 1995]
  • Kevin Ford , B. 1995 . “The representation of integers as sums of unlike powers” . J. London Math. Soc. , 51 : 14 – 26 . [Ford 1995]
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  • Mordell , L. J. 1969 . Diophantine Equations New York : Academic Press. . [Mordell 1969]
  • Roth , K. F. 1949 . “Proof that almost all positive integers are sums of a square, a positive cube, and a fourth power” . J. London Math. Soc. , 24 : 4 – 13 . [Roth 1949]
  • Vaughan , R. C. 1981 . The Hardy–Littlewood Method Cambridge : Cambridge University Press. . [Vaughan 1981]

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