Abstract
The purpose of this note is the following: (1) To get an upper bound for the number of monic irreducible polynomials in Fq[T] obtained by changing coefficients of a polynomial in lower degree terms. (2) To generalize the Titchmarsh Linnik divisor problem to polynomial ring Fq[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 |
Keywords
- Polynomial ring; large sieve inequality; Brun-Titchmarsh theorem.
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Engineering(all)
- Applied Mathematics