Hybrid subconvexity bounds for twists of $\mathrm{GL}(3)\times \mathrm{GL}(2)$ $L$-functions

Abstract

In this paper, we solve the hybrid subconvexity problem for $\mathrm{GL}(3)\times \mathrm{GL}(2)$ $L$-functions twisted by a primtive Dirichlet charater modulo $M$ (prime) in the $M$- and $t$-aspects. We also improve hybrid subconvexity bounds for twists of $\mathrm{GL}(3)$ $L$-functions in the $M$- and $t$-aspects.

36 pages. Incorporate the referee's comments and corrections. Comments welcome!

References in corpus (3)

• On the Rankin--Selberg problem
• The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound
• Analytic twists of $\mathrm{G}{\mathrm{L}}_3\times \mathrm{G}{\mathrm{L}}_2$ automorphic forms

Cited by in corpus (1)

• Strong Hybrid Subconvexity for Twisted Selfdual ${\mathrm{GL}}_3$ $L$-Functions