Twists of $GL(3)$ $L$-functions
Number Theory
2016-04-28 v1
Abstract
Let be a Hecke-Maass cusp form, and let be a primitive Dirichlet character modulo , which we assume to be prime. In this note we revisit the subconvexity problem addressed in `The circle method and bounds for -functions IV' and establish the following unconditional bound \begin{align*} L\left(\tfrac{1}{2},\pi\otimes\chi\right)\ll M^{3/4-1/308+\varepsilon}. \end{align*}
Cite
@article{arxiv.1604.08000,
title = {Twists of $GL(3)$ $L$-functions},
author = {Ritabrata Munshi},
journal= {arXiv preprint arXiv:1604.08000},
year = {2016}
}
Comments
First draft