Publications (10)
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 Cohomological Sarnak-Xue Density Hypothesis for
Shai Evra, Mathilde Gerbelli-Gauthier, Henrik P. A. Gustafsson
We prove the cohomological version of the Sarnak--Xue Density Hypothesis for over a totally real field and for inner forms split at all finite places. The proof relies on…
A Note on Large Sums of Divisor-Bounded Multiplicative Functions
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Given a multiplicative function , we let be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded fu…
Limit Multiplicity For Unitary Groups and The Stable Trace Formula
Mathilde Gerbelli-Gauthier
We give upper bounds on limit multiplicities of certain non-tempered representations of unitary groups . These include some cohomological representations, and we give appli…
Large Sums of Fourier Coefficients of Cusp Forms
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Let be a fixed positive integer, and let be a primitive cusp form given by the Fourier expansion . We cons…
Cohomology of Fuchsian groups and Fourier interpolation
Mathilde Gerbelli-Gauthier, Akshay Venkatesh
We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coef…