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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