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arXiv · 2211.15201

Weber's class number problem and its variants

Hyuga Yoshizaki
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Abstract

We survey Weber's class number problem and its variants in the spirit of arithmetic topology; we recollect some history, present a relation to certain units and generalized Pell's equation, and overview a study of the $p$-adic limits of class numbers in $\mathbb{Z}_p$-towers together with numerical investigation for knots and elliptic curves.

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Hyuga Yoshizaki. 2022-11-28. Weber's class number problem and its variants. https://arxiv.org/abs/2211.15201

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