Journal of Generalized Lie Theory and Applications

Real Multiplication Revisited

IV Nikolaev

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Abstract

It is proved that the Hilbert class field of a real quadratic field $Q(\sqrt{D})$ modulo a power $m$ of the conductor $f$ is generated by the Fourier coefficients of the Hecke eigenform for a congruence subgroup of level $fD$.

Article information

Source
J. Gen. Lie Theory Appl., Volume 10, Number S2 (2016), 5 pages.

Dates
First available in Project Euclid: 16 November 2016

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1479265226

Digital Object Identifier
doi:10.4172/1736-4337.1000S2-007

Mathematical Reviews number (MathSciNet)
MR3663976

Zentralblatt MATH identifier
1371.11089

Keywords
Class field Real multiplication

Citation

Nikolaev, IV. Real Multiplication Revisited. J. Gen. Lie Theory Appl. 10 (2016), no. S2, 5 pages. doi:10.4172/1736-4337.1000S2-007. https://projecteuclid.org/euclid.jglta/1479265226


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