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arXiv · 1705.05505

On the $16$-rank of class groups of $\mathbb{Q}(\sqrt{-2p})$ for primes $p \equiv 1 \bmod 4$

Peter Koymans·Djordjo Milovic
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Abstract

We use Vinogradov's method to prove equidistribution of a spin symbol governing the $16$-rank of class groups of quadratic number fields $\mathbb{Q}(\sqrt{-2p})$, where $p \equiv 1 \bmod 4$ is a prime.

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Peter Koymans, Djordjo Milovic. 2017-05-16. On the $16$-rank of class groups of $\mathbb{Q}(\sqrt{-2p})$ for primes $p \equiv 1 \bmod 4$. https://doi.org/10.1093/imrn%2Frny010

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