Re: [math-fun] An alternating symmetric polynomial ?

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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