Variance of sums in arithmetic progressions of arithmetic 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 arithmetic functions associated with certain $L$-functions of degree two and higher in ${\mathbb{F}}_q[t]$, in the limi…