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

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

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