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math.NT2017
Cohen-Lenstra heuristics and local conditions
Melanie Matchett Wood
We prove function field theorems supporting the Cohen-Lenstra heuristics for real quadratic fields, and natural strengthenings of these analogs from the affine class group to the P…
math.NT2017
An effective Chebotarev density theorem for families of number fields, with an application to -torsion in class groups
Lillian B. Pierce, Caroline L. Turnage-Butterbaugh, Melanie Matchett Wood
We prove a new effective Chebotarev density theorem for Galois extensions that allows one to count small primes (even as small as an arbitrarily small power of the d…
math.NT2017
Nonabelian Cohen-Lenstra Moments
Melanie Matchett Wood, Philip Matchett Wood
In this paper we give a conjecture for the average number of unramified -extensions of a quadratic field for any finite group . The Cohen-Lenstra heuristics are the specializ…