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The 16-rank of ℚ()

Algebra & Number Theory, vol. 14, pp. 37–65

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.

Authors 1

  1. Peter Koymans corresponding Aachen Mathematisch Instituut

    Leiden University

    Affiliation as printed

    Mathematisch Instituut, Leiden University, Leiden, Netherlands

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References 21