[seqfan] Problem with difference of squares
guninski at guninski.com
Fri Jan 28 08:14:17 CET 2011
n \neq m \neq 0
Can the number of solutions in Z be unbounded as n,m vary?
I suppose if the squarefree restriction is dropped the answer is yes via elliptic curves.
Probably the question is an open problem.
A possible relaxation might be replacing n,m with c_1 n, c_2 m with small c_1,c_2.
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