论文标题
监管机构占主导地位
The regulator dominates the rank
论文作者
论文摘要
在注意到一个数字的调节器主导了其单位组的排名之后，我们从特征性$ p \ geq5 $的全球函数字段的Mordell-Weil组的调节器下方绑定。下限是等级和高度的增加功能。
After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic $p\geq5$. The lower bound is an increasing function of the rank and of the height.
