4 papers · 1 filter
Mod gamma factors and a converse theorem for finite general linear groups
Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson +3
The local converse theorem for Rankin-Selberg gamma factors of proved by Piatetski-Shapiro over no longer holds after reduction modulo $\…
The Harris-Venkatesh conjecture for derived Hecke operators II: a unified Stark conjecture
Robin Zhang
We prove a compatibility theorem between the Stark conjecture and the Harris-Venkatesh conjecture for imaginary dihedral modular forms of weight . The key technical input is a g…
The Harris-Venkatesh conjecture for derived Hecke operators III: local constants
Robin Zhang
The first two papers in this series prove the Harris-Venkatesh conjecture and its refinement with the Stark conjecture for imaginary dihedral modular forms of weight . This pape…
The conjecture, uniform boundedness, and dynamical systems
Robin Zhang
We survey Vojta's higher-dimensional generalizations of the conjecture and Szpiro's conjecture as well as recent developments that apply them to various problems in arithmeti…