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

Abstract

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 $$L(1/2+it,\pi ){\ll }_{\pi ,\epsilon }(1+|t|{)}^{3/4-1/8+\epsilon }.$$

v3: 58 pages. Fixed errors and grammatical mistakes

Cited by in corpus (2)

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