Cyclotomic Number

A cyclotomic number is a complex number z that lies on and is one of a sequence of numbers that divides the unit circle in the complex plane |z|=1 into an equal number of parts. More generally, the term may be used for a complex number that is closely related to such a number.

The roots of unity, known as de Moivre numbers, are the most common cyclotomic numbers,. The Sylvester cyclotomic numbers are a more complicated variant related to Lucas sequences.

See also

Cyclotomic Equation, Cyclotomic Polynomial, de Moivre Identity, de Moivre Number, Root of Unity, Sylvester Cyclotomic Number, Unit Circle

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Cite this as:

Weisstein, Eric W. "Cyclotomic Number." From MathWorld--A Wolfram Web Resource.

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