On exponential sums over orbits in ${\mathbb{F}}_p^d$

Sarah Peluse

This paper proves a bound for exponential sums over orbits of vectors in ${\mathbb{F}}_p^d$ under subgroups of ${\mathrm{GL}}_{\mathrm{d}}({\mathbb{F}}_{\mathrm{p}})$. The main tool is a classification theorem fo…