### Abstract

The purpose of this note is the following: (1) To get an upper bound for the number of monic irreducible polynomials in F_{q}[T] obtained by changing coefficients of a polynomial in lower degree terms. (2) To generalize the Titchmarsh Linnik divisor problem to polynomial ring F_{q}[T] and prove an asymptotic formula for this divisor function.

Original language | English |
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Pages (from-to) | 275-281 |

Number of pages | 7 |

Journal | Finite Fields and their Applications |

Volume | 4 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1998 Jul 1 |

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### Keywords

- Polynomial ring; large sieve inequality; Brun-Titchmarsh theorem.

### ASJC Scopus subject areas

- Theoretical Computer Science
- Algebra and Number Theory
- Engineering(all)
- Applied Mathematics