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

Number Theory 2020-03-18 v2

Abstract

Recently, a density result for the 1616-rank of Cl(Q(p))\text{Cl}(\mathbb{Q}(\sqrt{-p})) was established when pp 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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Cite

@article{arxiv.1809.07167,
  title  = {The $16$-rank of $\mathbb{Q}(\sqrt{-p})$},
  author = {Peter Koymans},
  journal= {arXiv preprint arXiv:1809.07167},
  year   = {2020}
}

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