SU\G(𝔸)/K·U

The Determinant of the Eisenstein Matrix and Hilbert Class Fields

I. Efrat, P. Sarnak

Type: Article

Publication Date: 1985-08-01

Citations: 11

DOI: https://doi.org/10.2307/2000316

Abstract

We compute the determinant of the Eisenstein matrix associated to the Hilbert-Blumenthal modular group ${\text {PSL}_2}({\mathcal {O}_k})$, and express it in terms of the zeta function of the Hilbert class field of $K$.

Locations

  • Transactions of the American Mathematical Society - View - PDF

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