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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
Abstract

We prove hybrid subconvexity bounds for GL (3) × 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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