Notes

Auxiliary and expository notes on mathematics.

This section collects auxiliary and expository notes on mathematics.

Algebra

Irreducible polynomials over finite fields

Why \(x^{p^n}-x\) is the product of the monic irreducible polynomials over \(\mathbb{F}_p\) whose degrees divide \(n\), and how Möbius inversion gives an exact formula for their number.