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arXiv · 1211.2605

Quadratic fields with cyclic 2-class groups

Carlos Dominguez·Steven J. Miller·Siman Wong
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Abstract

For any integer $k\ge 1$, we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order $2^k$. The proof combines the circle method with an algebraic criterion for a complex quadratic ideal class to be a square.

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Carlos Dominguez, Steven J. Miller, Siman Wong. 2012-11-12. Quadratic fields with cyclic 2-class groups. https://arxiv.org/abs/1211.2605

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