arXiv:1108.6069·math.NT·September 1, 2011
Why is the Class Number of $\Q(\sqrt[3]{11})$ even?
Franz Lemmermeyer
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Abstract
In this article we will describe a surprising observation that occurred in the construction of quadratic unramified extensions of a family of pure cubic number fields. Attempting to find an explanation will lead us on a magical mystery tour through the land of pure cubic number fields, Hilbert class fields, and elliptic curves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Advanced Algebra and Geometry