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arXiv · 2503.12310

The subconvexity bound for standard L-function in level aspect

Yueke Hu·Paul Nelson
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Abstract

In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $\pi$ 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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Yueke Hu, Paul Nelson. 2025-03-16. The subconvexity bound for standard L-function in level aspect. https://arxiv.org/abs/2503.12310

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