On the roots of the substitution Dickson polynomials.

Gomez-Calderon, Javier

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The radical factors of $f (x) - f (y)$ over finite fields.

Gomez-Calderon, Javier (1997)

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In this article we further extend the algebraic theory of polynomial rings in Mizar [1, 2, 3]. We deal with roots and multiple roots of polynomials and show that both the real numbers and finite domains are not algebraically closed [5, 7]. We also prove the identity theorem for polynomials and that the number of multiple roots is bounded by the polynomial’s degree [4, 6].

Root separation for reducible integer polynomials

Yann Bugeaud, Andrej Dujella (2014)

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Comments on the height reducing property

Shigeki Akiyama, Toufik Zaimi (2013)

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A complex number α is said to satisfy the height reducing property if there is a finite subset, say F, of the ring ℤ of the rational integers such that ℤ[α] = F[α]. This property has been considered by several authors, especially in contexts related to self affine tilings and expansions of real numbers in non-integer bases. We prove that a number satisfying the height reducing property, is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one,...

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Overdetermined Strata in General Families of Polynomials

Kostov, Vladimir (2003)

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