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arXiv:1809.07167 [math.NT]AbstractReferencesReviewsResources

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

Peter Koymans

Published 2018-09-19Version 1

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.

Categories: math.NT
Subjects: 11R29, 11R45, 11N45
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