Some observations on the Diophantine equation u2 + v2 = x3 + y3

J. H. Clarke and A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 4, 1998, Number 4, Pages 157—159
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Authors and affiliations

J. H. Clarke
University of Technology, Sydney, 2007, Australia

A. G. Shannon
University of Technology, Sydney, 2007, Australia

AMS Classification

  • 11D09
  • 11D25

References

  1. Baker, R.C. 1994. The square-free divisor problem. The Quarterly Journal of Mathematics. Oxford. 45:269-277.
  2. Burton, David M. 1980. Elementary Number Theory. Boston: AUvn and Bacon. Clarke, J.H., Shannon, A.G. & Leyendekkers, J.V. In press. On sums of pairs of squares and cubes. Notes on Number Theory & Discrete Mathematics.
  3. Hardy, G.H. 1967. A Mathematician’s Apology. (With a foreword by C.P. Snow.) Cambridge: Cambridge University Press.
  4. Moroz, B.Z. 1985. On the number of primitive lattice points in plane domains.
    Monatschefte fur Mathematik. 99: 37-43.
  5. Nowak, Werner Georg. 1997. On sums and differences of two relative prime cubes, II. Tatra Mountains Mathematical Publications. 11: 23-34.

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Cite this paper

Clarke, J. H. & Shannon, A. G. (1998). Some observations on the Diophantine equation u2 + v2 = x3 + y3. Notes on Number Theory and Discrete Mathematics, 4(4), 157-159.

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