English

Twists of $GL(3)$ $L$-functions

Number Theory 2016-04-28 v1

Abstract

Let π\pi be a SL(3,Z)SL(3,\mathbb Z) Hecke-Maass cusp form, and let χ\chi be a primitive Dirichlet character modulo MM, which we assume to be prime. In this note we revisit the subconvexity problem addressed in `The circle method and bounds for LL-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*}

Keywords

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

R2 v1 2026-06-22T13:42:14.181Z