Counting quaternionic extensions

Abstract: Consider the set of Galois extensions $L$ of $\mathbb Q$ whose Galois group is the quaternion group. For large $X$, Klüners counted extensions with $|\mathrm{disc}(L)| <= X$. We discuss asymptotics when bounding invariants other than the discriminant.

number theory

Audience: researchers in the topic

Harvard number theory seminar