- Experiment. Math.
- Volume 4, Issue 3 (1995), 169-173.
Sums of squares, cubes, and higher powers
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.
Experiment. Math. Volume 4, Issue 3 (1995), 169-173.
First available in Project Euclid: 3 September 2003
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11P05: Waring's problem and variants
Jagy, William C.; Kaplansky, Irving. Sums of squares, cubes, and higher powers. Experiment. Math. 4 (1995), no. 3, 169--173. https://projecteuclid.org/euclid.em/1062621075.