The circle method and bounds for $L$-functions - III: $t$-aspect subconvexity for GL(3) $L$-functions

Abstract

Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb{Z})$. In this paper we will prove the following subconvex bound $$L(\frac{1}{2}+it,\pi ){\ll }_{\pi ,\epsilon }(1+|t|{)}^{3/4-1/16+\epsilon }.$$

revised version

References in corpus (2)

• Bounds for twisted symmetric square $L$-functions - III
• The circle method and bounds for $L$-functions - II: Subconvexity for twists of GL(3) $L$-functions

Cited by in corpus (1)

• The circle method and bounds for $L$-functions - II: Subconvexity for twists of GL(3) $L$-functions