### Abstract

Original language | English |
---|---|

Publisher | Tilburg University |

Number of pages | 31 |

Publication status | Published - 2019 |

Externally published | Yes |

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### Cite this

*Cyclonomials and Irreducible Polynomials over a Finite Field and their Zeros*. Tilburg University.

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*Cyclonomials and Irreducible Polynomials over a Finite Field and their Zeros*. Tilburg University.

**Cyclonomials and Irreducible Polynomials over a Finite Field and their Zeros.** / van Zanten, A.J.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Cyclonomials and Irreducible Polynomials over a Finite Field and their Zeros

AU - van Zanten, A.J.

PY - 2019

Y1 - 2019

N2 - A number of properties is derived concerning the distribution of irreducible polynomials in the ring GF(q)[x] as factors of cyclonomials. Furthermore, it is proven that the number of irreducible polynomials of degree m and with trace τ in GF(q)[x] is the same for all values of τ, if q is a prime and m is not a multiple of q. The same appears to be true if m is a multiple of q for all values of τ is not equal to 0.

AB - A number of properties is derived concerning the distribution of irreducible polynomials in the ring GF(q)[x] as factors of cyclonomials. Furthermore, it is proven that the number of irreducible polynomials of degree m and with trace τ in GF(q)[x] is the same for all values of τ, if q is a prime and m is not a multiple of q. The same appears to be true if m is a multiple of q for all values of τ is not equal to 0.

M3 - Report

BT - Cyclonomials and Irreducible Polynomials over a Finite Field and their Zeros

PB - Tilburg University

ER -