Open Access
2016 Real Multiplication Revisited
IV Nikolaev
J. Gen. Lie Theory Appl. 10(S2): 1-5 (2016). DOI: 10.4172/1736-4337.1000S2-007


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 $fD$.


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IV Nikolaev. "Real Multiplication Revisited." J. Gen. Lie Theory Appl. 10 (S2) 1 - 5, 2016.


Published: 2016
First available in Project Euclid: 16 November 2016

zbMATH: 1371.11089
MathSciNet: MR3663976
Digital Object Identifier: 10.4172/1736-4337.1000S2-007

Keywords: Class field , real multiplication

Rights: Copyright © 2016 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.10 • No. S2 • 2016
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