Variance of sums in arithmetic progressions of divisor functions associated with higher degree l-functions in ${\mathbb{F}}_q(t)$

Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon

We compute the variances of sums in arithmetic progressions of generalised k-divisor functions related to certain L-functions in ${\mathbb{F}}_q(t)$, in the limit as $q\to \infty$. Th…