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

DOI10.4171/JEMS/1306arXiv2007.10949OpenAlexW4312092886MaRDI QIDQ6345568

Zhi Qi

Publication date: 21 July 2020

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 $mathrm{GL}_{3}imesmathrm{GL}_2$ $L$-functions in the $mathrm{GL}_2$ Archimedean aspect.

Full work available at URL: https://doi.org/10.4171/jems/1306

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

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