Displaying similar documents to “Topology of the regular part for infinitely renormalizable quadratic polynomials”

Prime factors of values of polynomials

J. Browkin, A. Schinzel (2011)

Colloquium Mathematicae

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We prove that for every quadratic binomial f(x) = rx² + s ∈ ℤ[x] there are pairs ⟨a,b⟩ ∈ ℕ² such that a ≠ b, f(a) and f(b) have the same prime factors and min{a,b} is arbitrarily large. We prove the same result for every monic quadratic trinomial over ℤ.

Differentiability of Polynomials over Reals

Artur Korniłowicz (2017)

Formalized Mathematics

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In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].