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1995 Sums of squares, cubes, and higher powers
William C. Jagy, Irving Kaplansky
Experiment. Math. 4(3): 169-173 (1995).


Any integer is expressible as a sum of two squares and a cube, mixed signs being allowed. We study the analogous question for a square and two cubes, and obtain an affirmative answer in the range from $-$4,000,000 to 2,000,000. For two squares and a cube with everything positive, computations support the possibility that there are only finitely many exceptions. However, $x^2 + y^2 + z^9$ admits infinitely many positive exceptions.


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William C. Jagy. Irving Kaplansky. "Sums of squares, cubes, and higher powers." Experiment. Math. 4 (3) 169 - 173, 1995.


Published: 1995
First available in Project Euclid: 3 September 2003

zbMATH: 0867.11066
MathSciNet: MR1387474

Primary: 11P05

Rights: Copyright © 1995 A K Peters, Ltd.

Vol.4 • No. 3 • 1995
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