casas_alvero.prime_power

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The Casas-Alvero conjecture holds for polynomials of prime power degree. This was proved by Graf von Bothmer, Labs, Schicho, and van de Woestijne. Reference: [The Casas-Alvero conjecture for infinitely many degrees](https://arxiv.org/pdf/math/0605090)

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Lean 4 Statement

theorem casas_alvero.prime_power (p k : ℕ) (hp : p.Prime) (hd : P.natDegree = p^k)
    (hP' : HasCasasAlveroProp P) : ∃ α : K, P = (X - C α) ^ P.natDegree

ID: Paper__CasasAlvero__casas_alvero.prime_power

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