ICTS:30186

Video URL

A new zero-free region for Rankin--Selberg $L$-functions

A new zero-free region for Rankin--Selberg $L$-functions

(2024). A new zero-free region for Rankin--Selberg $L$-functions. SciVideos. https://youtube.com/live/zDXGqJr16lQ

A new zero-free region for Rankin--Selberg $L$-functions. SciVideos, Nov. 04, 2024, https://youtube.com/live/zDXGqJr16lQ 

          @misc{ scivideos_ICTS:30186,
            doi = {},
            url = {https://youtube.com/live/zDXGqJr16lQ},
            author = {},
            keywords = {},
            language = {en},
            title = {A new zero-free region for Rankin--Selberg $L$-functions},
            publisher = {},
            year = {2024},
            month = {nov},
            note = {ICTS:30186 see, \url{https://scivideos.org/icts-tifr/30186}}
          }
Gergely Harcos
Talk numberICTS:30186
Source RepositoryICTS-TIFR
Source EventCircle Method and Related Topics
Collection

Abstract

I will present a new zero-free region for all $\mathrm{GL}(1)$-twists of $\mathrm{GL}(m)\times\mathrm{GL}(n)$ Rankin--Selberg $L$-functions. The proof is inspired by Siegel's celebrated lower bound for Dirichlet $L$-functions at $s=1$. I will also discuss two applications briefly. Joint work with Jesse Thorner.