论文标题
算术上等效的数字字段的连续最小值大致相同
Arithmetically equivalent number fields have approximately the same successive minima
论文作者
论文摘要
令$ k $和$ k'$是算术上的数字字段，均为$ d $。我们证明，$ k $和$ k'$具有相同的连续最小值，直到仅取决于$ d $。我们举例说明一个人不能期望平等。
Let $K$ and $K'$ be arithmetically equivalent number fields, both of degree $d$. We prove that $K$ and $K'$ have the same successive minima, up to a constant depending only on $d$. We give examples showing that one cannot expect equality.
