3 problems

Let $\phi_i$ be a Hecke–Maass cusp form with spectral parameter $\lm_i$, and let $d_i$ denote its associated triple period coefficient. For every $\eps>0$, the notation…

Test vector conjecture for local triple product periods. There exist unit vectors $\varphi_i\in\pi_i$ such that: (i) the Sobolev norms of $\varphi_3$ are controlled by $M$, namely,…

Subconvexity conjecture. There exists $\delta>0$ such that