A Diophantine System Concerning Sums of Cubes
Mission San Jose High School
41717 Palm Avenue
Fremont, CA 94539
We study the Diophantine system
and prove, using the
theory of elliptic curves, that it has
infinitely many rational parametric solutions depending on n
free parameters. Moreover, this
Diophantine system has infinitely many positive rational solutions
with no common element for n
=4, which partially answers a question
in our earlier paper.
Full version: pdf,
Received August 4 2013;
revised version received September 4 2013.
Published in Journal of Integer Sequences, September 8 2013.
Minor revision, November 1 2013.
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