Guodong Xi

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math.NT2025

The $ρ$ -Fourier transform

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +4

Let $G$ be a reductive group over a local field $F$ and let $ρ :^{L} G \to GL_{V_{ρ}} (C)$ be a representation of its $L$ -group satisfying suitable assumptions. Braver…

math.NT2025

Periods detecting Eisenstein series and sums of $L$ -values I

Weixiao Lu, Guodong Xi

We study the automorphic period associated to a $G$ -Hamiltonian variety $M$ whose dual is $M ˇ = T^{*} (G ˇ / L ˇ)$ , where $G ˇ$ is a general linear group and $\…

The ρ-Fourier transform

Periods detecting Eisenstein series and sums of L-values I

The $ρ$ -Fourier transform

Periods detecting Eisenstein series and sums of $L$ -values I