Hybrid subconvexity bounds for twists of GL(3) × GL(2) L-functions

Huang, Bingrong; Xu, Zhao

doi:10.2140/ant.2023.17.1715

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

Bingrong Huang and Zhao Xu

Vol. 17 (2023), No. 10, 1715–1752

DOI: 10.2140/ant.2023.17.1715

Abstract

We prove hybrid subconvexity bounds for $GL (3) \times GL (2)$ $L$ -functions twisted by a primitive Dirichlet character modulo $M$ (prime) in the $M$ - and $t$ -aspects. We also improve hybrid subconvexity bounds for twists of $GL (3)$ $L$ -functions in the $M$ - and $t$ -aspects.

Keywords

hybrid subconvexity, twists, $\operatorname{GL}(3)\times \operatorname{GL}(2)$ L-functions, delta method

Mathematical Subject Classification

Primary: 11F66

Secondary: 11F67

Milestones

Received: 21 April 2021

Revised: 20 March 2022

Accepted: 17 October 2022

Published: 19 September 2023

Authors

Bingrong Huang
Data Science Institute and School of Mathematics Shandong University Jinan China

Zhao Xu
School of Mathematics Shandong University Jinan China

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Vol. 17, No. 10, 2023