Jayce R. Getz

activity

20132026

most citedSecondary terms in asymptotics for the number of zeros of quadratic forms over number fields

13 citations · 27 across the 19 of their papers we have counts for

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4 papers · 1 filter

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

Modulation groups

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +6

Conjectures of Braverman and Kazhdan, Ngô and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumptio…

math.NT2025

Triple product $L$ -functions and the Ramanujan conjecture

Jayce R. Getz, Heekyoung Hahn, HaoYun Yao

We prove that the Ramanujan conjecture is true under the assumption that the expected analytic properties of triple product $L$ -functions hold. Further, we explain how these analyt…

math.NT2025

On triple product $L$ -functions and the fiber bundle method

Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu +1

We introduce multi-variable zeta integrals which unfold to Euler products representing the triple product $L$ -function times a product of $L$ -functions with known analytic properti…

The ρ-Fourier transform

Modulation groups

Triple product L-functions and the Ramanujan conjecture

On triple product L-functions and the fiber bundle method

The $ρ$ -Fourier transform

Triple product $L$ -functions and the Ramanujan conjecture

On triple product $L$ -functions and the fiber bundle method