Ideals of degree one contribute most of the height

Aaron Levin, David McKinnon

Let $k$ be a number field, $f(x)\in k[x]$ a polynomial over $k$ with $f(0)\ne 0$, and ${Ø}_{k,S}^{\ast }$ the group of $S$-units of $k$, where $S$ is an appropriate finite set of places o…