关于大类数的非良性立方场

Pub Date : 2024-03-09 DOI:10.1090/proc/16827

Jérémy Dousselin

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引用次数: 0

摘要

我们研究了立方数域类数的大值，证明我们可以找到类数尽可能大的 "接近 "无边立方数域的任意长序列。我们还给出了关于这种无边立方数域类数极值的明确下限的第一步。

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On abelian cubic fields with large class number

We investigate the large values of class numbers of cubic fields, showing that one can find arbitrary long sequences of “close” abelian cubic number fields with class numbers as large as possible. We also give a first step toward an explicit lower bound for such extreme values of class numbers of abelian cubic fields.

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