Definition, Meaning & Synonyms

cyclotomic

adjective

/ˌsaɪ.kləˈtɒm.ɪk/

Definition

Relating to a cyclotomic field or cyclotomic polynomial.

Examples

The cyclotomic polynomial has fascinating properties in algebraic number theory.
Researchers are studying cyclotomic fields to understand their implications in modern mathematics.
In this class, we will cover cyclotomic extensions of fields.

Meaning

The term “cyclotomic” refers to a class of polynomials that have roots which are the complex numbers that form the vertices of a regular polygon inscribed in a circle. These polynomials are important in number theory and algebra.