Short second moment bound and Subconvexity for GL(3) $L$-functions

Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi

Let $\pi$ be a Hecke cusp form for ${\mathrm{SL}}_3(\mathbb{Z})$. We bound the second moment average of $L(s,\pi )$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it,…