Explicit Burgess inequalities for cubefree moduli

Elchin Hasanalizade, Hua Lin, Greg Martin +2

Burgess proved that for ${\chi }_q$ a primitive Dirichlet character modulo $q$ with $q$ cubefree, ${\sum }_{M<n\le M+N}{\chi }_q(n)=O\left(N^{1-\frac{1}{r}}{q}^{\frac{r+1}{4r^2}+\epsilon }\right)$ for al…