The subconvexity bound for standard L-function in level aspect

Abstract

In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $\ddot{I}€$ of ${\text{GL}}_n$, where the finite set of places $S$ with large conductors is allowed to vary, provided that the local parameters at every place in $S$ satisfy certain uniform growth condition.

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