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Subjects
11-XX Number theory
11Txx Finite fields and commutative rings (number-theoretic aspects)
11T06 Polynomials

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Displaying 1 – 18 of 18

The degree of the splitting field of a random polynomial over a finite field.

Dixon, John D., Panario, Daniel (2004)

The Electronic Journal of Combinatorics [electronic only]

The distribution of polynomials over finite fields

Stephen Cohen (1970)

Acta Arithmetica

The distribution of polynomials over finite fields, II

Stephen Cohen (1972)

Acta Arithmetica

The distribution of r-th powers in a finite field.

Clifton Whyburn (1970)

Journal für die reine und angewandte Mathematik

The factorization of $Q (L (x_{1}), . . ., L (x_{k}))$ over a finite field where $Q (x_{1}, . . ., x_{k})$ is of first degree and L(x) is linear

L. Carlitz, A. Long (1977)

Acta Arithmetica

The factorization of the derivative of Dickson polynomials.

María T. Acosta de Orozco, Javier Gómez-Calderón (1991)

Extracta Mathematicae

The Farey Series of polynomials over a finite field.

William A. Webb (1986)

Elemente der Mathematik

The irreducibility of compositions of linear polynomials over a finite field

S. D. Cohen (1982)

Compositio Mathematica

The joint distribution of $Q$ -additive functions on polynomials over finite fields

Michael Drmota, Georg Gutenbrunner (2005)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a finite field and $Q \in K [T]$ a polynomial of positive degree. A function $f$ on $K [T]$ is called (completely) $Q$ -additive if $f (A + B Q) = f (A) + f (B)$ , where $A, B \in K [T]$ and $deg (A) < deg (Q)$ . We prove that the values $(f_{1} (A), ..., f_{d} (A))$ are asymptotically equidistributed on the (finite) image set ${(f_{1} (A), ...,$ $f_{d} ...$

The number of permutation binomials over $𝔽_{4 p + 1}$ where $p$ and $4 p + 1$ are primes.

Masuda, A., Panario, D., Wang, Q. (2006)

The Electronic Journal of Combinatorics [electronic only]

The number of solutions of certain equations over a finite field

van Meter, Robert G. (1973)

Portugaliae mathematica

The number of zeroes of x3 + y3 + cz3 in certain finite fields.

S. Chowla, J. Cowles, M. Cowles (1978)

Journal für die reine und angewandte Mathematik

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

Gomez-Calderon, Javier (1997)

International Journal of Mathematics and Mathematical Sciences

The strong primitive normal basis theorem

Stephen D. Cohen, Sophie Huczynska (2010)

Acta Arithmetica

Théorèmes de densité dans $F_{q} [X]$

Mireille Car (1987)

Acta Arithmetica

Thompson's Problem (... =3).

Enrico Bombieri (1980)

Inventiones mathematicae

Trace-compatible polynomial sequences over finite fields. (Spur-kompatible Polynomfolgen über endlichen Körpern.)

Scheerhorn, Alfred (1992)

Séminaire Lotharingien de Combinatoire [electronic only]

Tschebyscheffpolynome und die dadurch dargestellten Gruppen.

Rudolf Lidl (1973)

Monatshefte für Mathematik

Currently displaying 1 – 18 of 18

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