Galois groups of random additive polynomials

Lior Bary-Soroker, Alexei Entin, Eilidh McKemmie

We study the distribution of the Galois group of a random $q$-additive polynomial over a rational function field: For $q$ a power of a prime $p$, let $f=X^{q^n}+a_{n-1}X^{q^{n-1}}+…