The $16$-rank of $\mathbb{Q}(\sqrt{-p})$

Abstract

Recently, a density result for the $16$-rank of $\text{Cl}(\mathbb{Q}(\sqrt{-p}))$ was established when $p$ varies among the prime numbers, assuming a short character sum conjecture. In this paper we prove the same density result unconditionally.

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References in corpus (2)

• Nonabelian Cohen-Lenstra Moments
• On the $16$-rank of class groups of $\mathbb{Q}(\sqrt{-2p})$ for primes $p\equiv 1\mathrm{mod}4$