Exact counting of 𝐷_{ℓ} number fields with given quadratic resolvent

Cohen, Henri

doi:10.1090/S0025-5718-2015-02920-2

Exact counting of $D_\ell$ number fields with given quadratic resolvent
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Math. Comp. 84 (2015), 1933-1951 Request permission

Abstract:

We give efficient numerical methods for counting exactly the number of $D_\ell$ number fields of degree $\ell$ with given quadratic resolvent, for calculating the constants occurring in their asymptotic expansions, and we give tables for typical cases.

References

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