Sub-Weyl strength bounds for twisted $GL(2)$ short character sums

Aritra Ghosh, Kummari Mallesham

Let $$S(N)=\sum _{n\sim N}^{\text{smooth}}{\lambda }_f(n)\chi (n),$$ where ${\lambda }_f(n)$'s are Fourier coefficients of Hecke-eigen form, and $\chi$ is a primitive character of conductor $…