root of unity


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root of unity

[¦rüt əv ′yü·nəd·ē]
(mathematics)
A root of unity in a field F is an element a in F such that a n = 1 for some positive integer n.
References in periodicals archive ?
Let N be a positive integer, [zeta] a primitive Nth root of unity, and q = r[zeta] for 0 [less than or equal to] r [less than or equal to] 1, then if N is even, [[bar.
If d [greater than or equal to] 3 does not divide k, then c(n, k; w) = 0, where w is a primitive d-th root of unity.
For d [greater than or equal to] 3 and w a primitive dth root of unity,
N] = 0; other terms are zero because of the vanishing of q-binomial coefficients, provided q is a primitive Nth root of unity.
When q is a root of unity, its image under the specialization [bar.
n](q) have been constructed when q is a primitive lth root of unity.