Laney Williams

collaborators

2 papers

math.NT2025

Counting $C_{2} ≀ S_{4}$ fields with a power saving error term

Sambhabi Bose, Kevin J. McGown, Ishan Panpaliya +2

Let $N_{d} (G, X)$ denote the number of degree $d$ extensions of $Q$ with Galois closure $G$ and $∣ I^_{K} ∣ \leq X$ . Malle's conjecture predicts an asymptotic of the form $N_d(G,X…

math.NT2025

The average genus number for pure fields of prime degree

Sambhabi Bose, Kevin J. McGown, Ishan Panpaliya +2

Let $ℓ \geq 5$ be prime. Let $F_{ℓ}$ be the collection of (isomorphism classes of) pure number fields $Q (ℓ a)$ of degree $ℓ$ , ordered by the abs…

Counting C2​≀S4​ fields with a power saving error term

The average genus number for pure fields of prime degree

Counting $C_{2} ≀ S_{4}$ fields with a power saving error term