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

Zhi Qi

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

Number Theory 2021-10-27 v3

Authors: Zhi Qi

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.

Keywords

l-functions

Cite

@article{arxiv.2007.10949,
  title  = {Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields},
  author = {Zhi Qi},
  journal= {arXiv preprint arXiv:2007.10949},
  year   = {2021}
}

Comments

66 pages; improved exposition; to appear in JEMS

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