[math-fun] An alternating symmetric polynomial ?
9 Feb
2010
9 Feb
'10
8:48 p.m.
Puzzle: Does there exist a nonzero polynomial P(x,y,z) that is symmetric in its arguments and is alternating in the sense that P(x,x,z) = 0 identically ? -- Gene
9 Feb
9 Feb
8:52 p.m.
P(x,y,z) = ((x-y)(x-z)(y-z))^2 ? On Tue, Feb 9, 2010 at 3:48 PM, Eugene Salamin <gene_salamin@yahoo.com>wrote:
Puzzle: Does there exist a nonzero polynomial P(x,y,z) that is symmetric in its arguments and is alternating in the sense that P(x,x,z) = 0 identically ?
-- Gene
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