Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772629 | Journal of Number Theory | 2017 | 14 Pages |
Abstract
Let Fq be the finite field of q elements. We define an action of PGL(2,q) on Fq[X] and study the distribution of the irreducible polynomials that remain invariant under this action for lower-triangular matrices. As a result, we describe the possible values of the coefficients of such polynomials and prove that, with a small finite number of possible exceptions, there exist polynomials of given degree with prescribed high-degree coefficients.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Giorgos Kapetanakis,