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Aug 23, 2012 at 15:34 history edited Pietro Majer CC BY-SA 3.0
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Aug 23, 2012 at 15:32 comment added Pietro Majer or, alternatively, from $\prod_{j=1}^n c_j=0$ one gets that at least one $c_j$ vanishes; and iterating, that they all vanish.
Aug 23, 2012 at 15:14 history answered Pietro Majer CC BY-SA 3.0