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

```@article{Chebolu2010CountingIP,
title={Counting Irreducible Polynomials over Finite Fields Using the Inclusion-Exclusion Principle},
author={Sunil K. Chebolu and J{\'a}n Min{\'a}c},
journal={Mathematics Magazine},
year={2010},
volume={84},
pages={369 - 371}
}```
• Published 2010
• Mathematics
• Mathematics Magazine
Summary C. F. Gauss discovered a beautiful formula for the number of irreducible polynomials of a given degree over a finite field. Using just very basic knowledge of finite fields and the inclusion-exclusion formula, we show how one can see the shape of this formula and its proof almost instantly.
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Using just very basic knowledge of finite fields and the inclusion-exclusion formula, we show how one can see the shape of this formula and its proof almost instantly