3 papers
math.NT2026
Landau-Siegel zeros of Rankin-Selberg -functions
Jesse Thorner, Shifan Zhao
We establish standard zero-free regions with no exceptional Landau-Siegel zeros for Rankin-Selberg -functions and triple product -functions in several new families for which…
math.NT2024
Remarks on Landau-Siegel zeros
Debmalya Basak, Jesse Thorner, Alexandru Zaharescu
For certain families of -functions, we prove that if each -function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of , then one may con…
math.NT2024
Zeros of -functions in families near the critical line
Valentin Blomer, Jesse Thorner
We combine the relative trace formula with analytic methods to obtain zero density estimate for -functions in various families of automorphic representations for $\mathrm{GL}(m)…