A classification of $\mathbb{Q}$-linear maps from ${\overline{\mathbb{Q}}}^{\times }/{\overline{\mathbb{Q}}}_{\mathrm{tors}}^{\times }$ to $\mathbb{R}$

Charles L. Samuels

A 2009 article of Allcock and Vaaler explored the $\mathbb{Q}$-vector space $\mathcal{G}:={\overline{\mathbb{Q}}}^{\times }/{\overline{\mathbb{Q}}}_{\mathrm{tors}}^{\times }$, showing how to…