x^3 + y^3 = z^2 revisited
James Buddenhagen
jbuddenh at earthlink.net
Thu Mar 24 22:50:21 CET 2005
A while back integer solutions to x^3 + y^3 = z^2
were a topic here to which I contributed. I have
since learned that a complete solution was given
by Louis J. Mordell in his book "Diophantine equations",
Academic Press, London-New York 1969.
This information comes from Dario Alpern's site:
http://www.alpertron.com.ar/SUMPOWER.HTM#3_3_2 where
he provides explicit solutions to this and several
other Diophantine equations.
The following online papers (some mentioned by Dario)
are pertinent:
Johnny Edwards
http://www.math.uu.nl/people/edwards/thesis.pdf
http://www.math.uu.nl/people/edwards/icosahedron.pdf
http://www.math.uu.nl/people/edwards/nmc2002.pdf
Nils Bruin
http://arxiv.org/PS_cache/math/pdf/0311/0311002.pdf
(see page 2)
Several OEIS sequences are related to this equation.
Jim Buddenhagen
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