You are here

Counting Irreducible Polynomials over Finite Fields Using the Inclusion-Exclusion Principle

by Sunil K. Chebolu (Illinois State University) and Ján Mináč (University of Western Ontario)

This article originally appeared in:
Mathematics Magazine
December, 2011

Subject classification(s): Algebra and Number Theory | Abstract Algebra | Fields
Applicable Course(s): 4.2 Mod Algebra I & II

Using just very basic knowledge of finite fields and the inclusion-exclusion formula, the authors show how one can see the shape of Gauss` formula for the number of irreducible polynomials of a given degree over a finite field .


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

3
Average: 3 (5 votes)

Dummy View - NOT TO BE DELETED