ICTS:30188

Video URL

Sub-Weyl bound for GL(2) L-functions

Sub-Weyl bound for GL(2) L-functions

(2024). Sub-Weyl bound for GL(2) L-functions. SciVideos. https://youtube.com/live/mgaJE-ISc-s

Sub-Weyl bound for GL(2) L-functions. SciVideos, Nov. 04, 2024, https://youtube.com/live/mgaJE-ISc-s 

          @misc{ scivideos_ICTS:30188,
            doi = {},
            url = {https://youtube.com/live/mgaJE-ISc-s},
            author = {},
            keywords = {},
            language = {en},
            title = {Sub-Weyl bound for GL(2) L-functions},
            publisher = {},
            year = {2024},
            month = {nov},
            note = {ICTS:30188 see, \url{https://scivideos.org/icts-tifr/30188}}
          }
Prahlad Sharma
Talk numberICTS:30188
Source RepositoryICTS-TIFR
Source EventCircle Method and Related Topics
Collection

Abstract

For a $SL(2,\mathbb{Z})$ form $f$, we obtain a sub-Weyl bound: \begin{equation*}L(1/2+it,f)\ll_{f,\varepsilon} t^{1/3-\delta+\varepsilon}\end{equation*} for some explicit $\delta>0$, crossing the Weyl barrier for the first time beyond $GL(1)$. The proof uses a refinement of the `trivial' delta method.