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Séminaire Lotharingien de Combinatoire, B61Ai (2010), 6 pp.

# Alain Lascoux

# Generalization of Scott's Permanent Identity

**Abstract.**
Let **x**={*x*_{1},...,*x*_{r}},
**y**={*y*_{1},...,*y*_{n}},
**z**={*z*_{1},...,*z*_{n}}
be three sets of indeterminates.
We give the value of the determinant

when specializing **y** and **z** to the set of roots of
*y*^{n}-1 and
*z*^{n}-*ξ*^{n}, respectively.

Received: March 2, 2010.
Accepted: April 13, 2010.

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