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

Published 16 May 2017 in math.NT | (1705.05505v1)

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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Authors (2)

  1. Peter Koymans 
  2. Djordjo Milovic 

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