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arXiv · 1404.4999

Real multiplication revisited

Igor Nikolaev
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Abstract

It is proved that the Hilbert class field of a real quadratic field ${\Bbb Q}(\sqrt{D})$ 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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Igor Nikolaev. 2016-02-05. Real multiplication revisited. https://doi.org/10.4172/1736-4337.1000s2-007

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