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 9 of their papers we have counts for

collaborators

Showing math.NTShow all

8 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…

math.NT2023

The Cohomological Sarnak-Xue Density Hypothesis for $S O_{5}$

Shai Evra, Mathilde Gerbelli-Gauthier, Henrik P. A. Gustafsson

We prove the cohomological version of the Sarnak--Xue Density Hypothesis for $S O_{5}$ over a totally real field and for inner forms split at all finite places. The proof relies on…

math.NT2023

Large Sums of Fourier Coefficients of Cusp Forms

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

Let $N$ be a fixed positive integer, and let $f \in S_{k} (N)$ be a primitive cusp form given by the Fourier expansion $f (z) = \sum_{n = 1}^{\infty} λ_{f} (n) n^{\frac{k - 1}{2}} e (n z)$ . We consi…

math.NT2023

Mod $ℓ$ 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 $GL_{2} (F_{q})$ proved by Piatetski-Shapiro over $C$ no longer holds after reduction modulo $\…

math.NT2022

Statistics of Cohomological Automorphic Representations on Unitary Groups via the Endoscopic Classification

Rahul Dalal, Mathilde Gerbelli-Gauthier

Consider the family of automorphic representations on a unitary group with cohomological factor $π_{0}$ at infinity and given split level. We compute statistics of this family as the…

math.NT2019★ 1 cited

Growth of cohomology of arithmetic groups and the stable trace formula: the case of $U (2, 1)$

Mathilde Gerbelli-Gauthier

We present a strategy to use the stable trace formula to compute growth in the cohomology of cocompact arithmetic lattices in a reductive group $G$ . We then implement it in the cas…

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

The Cohomological Sarnak-Xue Density Hypothesis for SO5​

Large Sums of Fourier Coefficients of Cusp Forms

Mod ℓ gamma factors and a converse theorem for finite general linear groups

Statistics of Cohomological Automorphic Representations on Unitary Groups via the Endoscopic Classification

Growth of cohomology of arithmetic groups and the stable trace formula: the case of U(2,1)

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

The Cohomological Sarnak-Xue Density Hypothesis for $S O_{5}$

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups

Growth of cohomology of arithmetic groups and the stable trace formula: the case of $U (2, 1)$