3 citations · 6 across the 5 of their papers we have counts for
6 papers · 1 filter
Distributions of unramified extensions of global fields
Will Sawin, Melanie Matchett Wood
Given a finite group , we prove results on the distribution of the prime-to- part of fundamental groups of -covers of the projective line ov…
The average size of -torsion in class groups of -extensions
Robert J. Lemke Oliver, Jiuya Wang, Melanie Matchett Wood
We determine the average size of the 3-torsion in class groups of -extensions of a number field when is any transitive -group containing a transposition, for example $D_4…
Moments and interpretations of the Cohen-Lenstra-Martinet heuristics
Weitong Wang, Melanie Matchett Wood
The goal of this paper is to prove theorems that elucidate the Cohen-Lenstra-Martinet conjectures for the distributions of class groups of number fields, and further the understand…
Random integral matrices and the Cohen Lenstra Heuristics
Melanie Matchett Wood
We prove that given any , random integral matrices with independent entries that lie in any residue class modulo a prime with probability at most have cokern…
Counting polynomials over finite fields with given root multiplicities
Ayah Almousa, Melanie Matchett Wood
We give formulas for the number of polynomials over a finite field with given root multiplicities, in particular in cases when the formula is surprisingly simple (a power of q). Be…
The distribution of points on superelliptic curves over finite fields
GilYoung Cheong, Melanie Matchett Wood, Azeem Zaman
We give the distribution of points on smooth superelliptic curves over a fixed finite field, as their degree goes to infinity. We also give the distribution of points on smooth m-f…