Let elementary symmetric polynomials (Vieta's formula) be integers for every . Is the polynomial also integer, where ?
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Originally Posted by rodeo Let elementary symmetric polynomials (Vieta's formula) be integers for every . Is the polynomial also integer, where ? In terms of the elementary symmetric polynomials , it looks as though . So it will be an integer.
I think that I prove this by an easy induction. What about for any ? Thank you!
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