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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The determinant of the Eisenstein matrix and Hilbert class fields


Authors: I. Efrat and P. Sarnak
Journal: Trans. Amer. Math. Soc. 290 (1985), 815-824
MSC: Primary 11F41
MathSciNet review: 792829
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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$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0792829-1
PII: S 0002-9947(1985)0792829-1
Article copyright: © Copyright 1985 American Mathematical Society