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The 18 pages that link to Cyclotomic polynomial, each with the reason it gives.

• Root of unityRelated: These polynomials collect roots according to their exact order.

• Cyclotomic fieldRelated: Its roots generate the field, and its degree gives the extension degree.

• Disquisitiones ArithmeticaeRelated: Cyclotomic equations connect the book’s algebra to the construction of regular polygons.

• AKS primality testRelated: Cyclotomic structure helps explain why AKS's polynomial congruence distinguishes primes.

• Fermat numberRelated: The identity linking consecutive Fermat numbers reflects a factorization of x^(2^m)+1.

• Catalan's conjectureRelated: Cyclotomic factorization helps constrain hypothetical solutions.

• Gauss–Wantzel theoremRelated: Its degree and factorization help determine the algebraic degree of polygon coordinates.

• Crystallographic restriction theoremRelated: Its degree bounds which roots of unity can occur in lattice rotation matrices.

• Complex conjugate root theoremRelated: Its nonreal roots pair under conjugation because its coefficients are real.

• Wedderburn's little theoremRelated: The proof's element-counting argument connects multiplicative orders to cyclotomic polynomials.

• Eisenstein's criterionRelated: A shifted cyclotomic polynomial provides a standard use of Eisenstein's criterion in proving irreducibility.

• Lifting-the-exponent lemmaRelated: Cyclotomic factorization decomposes xⁿ − yⁿ into factors when a single LTE calculation is insufficient.

• Sophie Germain's theoremRelated: Factoring x^p + y^p separates the sum into factors whose divisibility drives the argument.

• Carmichael's theoremRelated: Cyclic finite-field groups organize roots of unity by their orders.

• Goormaghtigh conjectureRelated: Factoring xⁿ−1 into cyclotomic factors exposes structure behind repunit divisibility.

• Gotthold EisensteinRelated: Cyclotomic polynomials supplied tools for Eisenstein’s work on irreducibility and reciprocity.

• Niven's theoremRelated: These polynomials encode the algebraic relations among roots arising from rational multiples of π.