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arXiv · 1212.1252

Class number one criterion for some non-normal totally real cubic fields

Jun Ho Lee
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Abstract

Let ${\{K_m\}_{m\geq 4}}$ be the family of non-normal totally real cubic number fields defined by the irreducible cubic polynomial $f_m(x)=x^3-mx^2-(m+1)x-1$, where $m$ is an integer with $m\geq 4$. In this paper, we will give a class number one criterion for $K_m$.

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Jun Ho Lee. 2012-12-06. Class number one criterion for some non-normal totally real cubic fields. https://arxiv.org/abs/1212.1252

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