root of unity

(redirected from Primitive root of unity)

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Since all the roots of the numerator and the denominator of X(q) are roots of unity, this follows from the fact that for each d-th primitive root of unity [[omega].sub.d], the order of the zero at q = [[omega].sub.d] is no smaller in the numerator than in the denominator.
Cyclic sieving for two families of non-crossing graphs

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