Mathilde Gerbelli-Gauthier

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20192025

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

U (2, 1)

1 citations · 1 across the 8 of their papers we have counts for

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Showing 2023 · math.NTShow all

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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 $\…

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

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

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