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Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.
8
votes
Accepted
What is the ring $A_{\Gamma}$ in the Cohen-Lenstra Heuristics?
The group $\Gamma$ is indeed isomorphic to the Galois groups of the fields in the family, whose class groups one studies. The class groups come with a natural action of $\Gamma$, but under this action …
3
votes
Accepted
How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics
$\DeclareMathOperator\Aut{Aut}$I infer from the context that the precise meaning of "a random $\mathbb{Z}[\zeta_d]$-module modulo a random principal ideal" means that you start by producing a random $ …