Mathilde Gerbelli-Gauthier

activity

20192025

most citedGrowth of cohomology of arithmetic groups and the stable trace formula: the case of

U (2, 1)

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.NT2024

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$

Rahul Dalal, Mathilde Gerbelli-Gauthier

Let $F$ be a totally real field. We study the root numbers $ε (1/2, π)$ of self-dual cuspidal automorphic representations $π$ of $GL_{2 N} / F$ with conductor $n$ an…

math.NT2024

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…

math.NT2024

A Note on Large Sums of Divisor-Bounded Multiplicative Functions

Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1

Given a multiplicative function $f$ , we let $S (x, f) = \sum_{n \leq x} f (n)$ be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded fu…

Root Number Equidistribution for Self-Dual Automorphic Representations on GLN​

Cohomology of Fuchsian groups and Fourier interpolation

A Note on Large Sums of Divisor-Bounded Multiplicative Functions

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$