3 papers
math.NT2026
Schwartz spaces on L-monoids: non-Archimedean
Chun-Hsien Hsu, HaoYun Yao
We complete the Braverman-Kazhdan-Ngô program over non-Archimedean local fields assuming local Langlands conjecture for tempered representations and a natural assumption on the …
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 -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 -functions hold. Further, we explain how these analyt…