Applications of the Large Sieve Inequality for Fq[T]

Chih Nung Hsu

doi:10.1006/ffta.1998.0214

Applications of the Large Sieve Inequality for F_q[T]

Chih Nung Hsu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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
Pages (from-to)	275-281
Number of pages	7
Journal	Finite Fields and their Applications
Volume	4
Issue number	3
DOIs	https://doi.org/10.1006/ffta.1998.0214
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
General Engineering
Applied Mathematics

Access to Document

10.1006/ffta.1998.0214

Cite this

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