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

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.

66 pages; improved exposition; to appear in JEMS

References in corpus (1)

• Eisenstein series and the cubic moment for PGL(2)