Linked from

The 20 pages that link to Root of unity, each with the reason it gives.

• Complex planeBroader topic: They form equally spaced points on the unit circle.

• Cyclic groupRelated: The nth roots of unity form a cyclic group under multiplication.

• Cyclotomic fieldBroader topic: A primitive root of unity generates a cyclotomic field.

• Cyclotomic polynomialNarrower topic: Cyclotomic polynomials partition these roots according to their exact multiplicative orders.

• Discrete Fourier transformRelated: Powers of a primitive root of unity supply the DFT’s evenly spaced frequency phases.

• Fast Fourier transformRelated: The DFT's periodic sampling points are roots of unity.

• Lindemann–Weierstrass theoremRelated: Their exponential representations yield examples of algebraic exponential values constrained by the theorem.

• Circle methodRelated: Rational angles on the unit circle correspond to roots of unity that organize major-arc behavior.

• Dirichlet characterRelated: Values of a character on the finite unit group are roots of unity.

• Ernst KummerRelated: Roots of unity generate the fields in which Kummer developed his methods.

• Exponential sumRelated: Finite-group characters often take root-of-unity values.

• Finite cyclic groupBroader topic: The nth roots of unity form a finite cyclic group under multiplication.

• Dirichlet's unit theoremRelated: Roots of unity form the finite torsion subgroup in the theorem's decomposition.

• Kronecker–Weber theoremRelated: Adjoining roots of unity constructs the ambient fields in the theorem.

• De Moivre's formulaBroader topic: Setting the powered expression equal to one gives their angles directly.

• Nth rootBroader topic: Multiplying one nth root by an nth root of unity generates the other complex roots.

• Class number formulaRelated: The formula accounts for the finite subgroup of units through its order.

• Birch–Tate conjectureRelated: The formula includes the number of roots of unity in the number field.

• Carmichael's theoremRelated: Elements of finite multiplicative subgroups are roots of unity.

• Niven's theoremRelated: Exponentiating a rational multiple of π produces a root of unity whose algebraic properties constrain the sine.