59 citations · 371 across the 37 of their papers we have counts for
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math.NT2019★ 4 cited
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…
math.NT2019★ 8 cited
A predicted distribution for Galois groups of maximal unramified extensions
Yuan Liu, Melanie Matchett Wood, David Zureick-Brown
We consider the distribution of the Galois groups of maximal unramified extensions as ranges over -extensions of o…
math.NT2019★ 1 cited
On a conjecture for -torsion in class groups of number fields: from the perspective of moments
Lillian B. Pierce, Caroline L. Turnage-Butterbaugh, Melanie Matchett Wood
It is conjectured that within the class group of any number field, for every integer , the -torsion subgroup is very small (in an appropriate sense, relative to…