Shortest nonzero lattice points in a totally real multi-quadratic number field and applications

Jishu Das

Let $F$ be a multi-quadratic totally real number field. Let ${\sigma }_1,\dots ,{\sigma }_r$ denote its distinct embeddings. Given $s\in F,$ we give an explicit formula for $\Vert \sigma (s)\Vert$ and $\sum_…