The determinant of the eisenstein matrix and hilbert class fields

I. Efrat; P. Sarnak

doi:10.1090/S0002-9947-1985-0792829-1

The determinant of the eisenstein matrix and hilbert class fields

I. Efrat
, P. Sarnak

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We compute the determinant of the Eisenstein matrix associated to the Hilbert-Blumenthal modular group PSL₂(O_k), and express it in terms of the zeta function of the Hilbert class field of K.

Original language	English (US)
Pages (from-to)	815-824
Number of pages	10
Journal	Transactions of the American Mathematical Society
Volume	290
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1985-0792829-1
State	Published - Aug 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1985-0792829-1

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abstract = "We compute the determinant of the Eisenstein matrix associated to the Hilbert-Blumenthal modular group PSL2(Ok), and express it in terms of the zeta function of the Hilbert class field of K.",

author = "I. Efrat and P. Sarnak",

year = "1985",

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T1 - The determinant of the eisenstein matrix and hilbert class fields

AU - Efrat, I.

AU - Sarnak, P.

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N2 - We compute the determinant of the Eisenstein matrix associated to the Hilbert-Blumenthal modular group PSL2(Ok), and express it in terms of the zeta function of the Hilbert class field of K.

AB - We compute the determinant of the Eisenstein matrix associated to the Hilbert-Blumenthal modular group PSL2(Ok), and express it in terms of the zeta function of the Hilbert class field of K.

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M3 - Article

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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The determinant of the eisenstein matrix and hilbert class fields

Abstract

All Science Journal Classification (ASJC) codes

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