Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields

Zhi Qi

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arXiv · 2007.10949

Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields

Zhi Qi

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Abstract

In this paper, over an arbitrary number field, we prove subconvexity bounds for self-dual $\mathrm{GL}_3$ $L$-functions in the $t$-aspect and for self-dual $\mathrm{GL}_3 \times \mathrm{GL}_2$ $L$-functions in the $\mathrm{GL}_2$ Archimedean aspect.

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Zhi Qi. 2020-07-21. Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields. https://arxiv.org/abs/2007.10949

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