View Single Post
Old 2008-04-30, 22:52   #1
philmoore
 
philmoore's Avatar
 
"Phil"
Sep 2002
Tracktown, U.S.A.

5·223 Posts
Default Diophantine problem

This problem was posed in the April 2008 issue of The American Mathematical Monthly by Jeffrey Lagarias, U. of Michigan:

Determine for which integers a the Diophantine equation
\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{a}{xyz}
has infinitely many integer solutions (x,y,z) such that \gcd(a,xyz)=1.

I have not solved it, I have just found it interesting and suspect that others on this forum might find it interesting as well.
philmoore is offline   Reply With Quote