3 papers
math.NT2025
Co-periods and central symmetric cube L-values
Li Cai, Yangyu Fan, Dongming She
In this article, we study the co-period integral attached to an automorphic form on $\GL(2)$ and two exceptional theta series on the cubic Kazhdan-Patterson cover of $\GL(2)$. In t…
math.NT2024
Euler systems and relative Satake isomorphism
Li Cai, Yangyu Fan, Shilin Lai
We explain how the unramified Plancherel formula in the relative Langlands program gives a natural way of constructing test vectors which satisfy the tame norm relations of an Eule…
math.NT2023
Ichino period for CM forms
Li Cai, Yangyu Fan, Yong Jiang
In both local and global settings, we establish explicit relations between Ichino triple product period and Waldspurger toric periods for CM forms via the theta lifting and the see…