The distribution of ${\mathbb{F}}_q$-points on cyclic $\ell$-covers of genus $g$

Alina Bucur, Chantal David, Brooke Feigon +4

We study fluctuations in the number of points of $\ell$-cyclic covers of the projective line over the finite field ${\mathbb{F}}_q$ when $q\equiv 1\mathrm{mod}\ell$ is fixed and the genus…