A theorem on sets of polynomials over a finite field

L. Carlitz

Displaying similar documents to “A theorem on sets of polynomials over a finite field”

Diophantine equations with Bernoulli polynomials

Manisha Kulkarni, B. Sury (2005)

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Some observations on the Diophantine equation f(x)f(y) = f(z)²

Yong Zhang (2016)

Colloquium Mathematicae

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Let f ∈ ℚ [X] be a polynomial without multiple roots and with deg(f) ≥ 2. We give conditions for f(X) = AX² + BX + C such that the Diophantine equation f(x)f(y) = f(z)² has infinitely many nontrivial integer solutions and prove that this equation has a rational parametric solution for infinitely many irreducible cubic polynomials. Moreover, we consider f(x)f(y) = f(z)² for quartic polynomials.

Linear polynomials in numbers of bounded degree

Wolfgang M. Schmidt (2012)

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On the Diophantine equation F(x)=G(y)

Sz. Tengely (2003)

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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].