| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583205 | Finite Fields and Their Applications | 2011 | 8 Pages |
Abstract
We generalize Carlitzʼ result on the number of self-reciprocal monic irreducible polynomials over finite fields by showing that similar explicit formula holds for the number of irreducible polynomials obtained by a fixed quadratic transformation. Our main tools are a combinatorial argument and Hurwitz genus formula.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
