The Weyl bound for triple product L-functions

The Weyl bound for triple product L-functions

Duke Math J. 172 (6), 1173-1234, (2023) Let $\pi_1, \pi_2, \pi_3$ be three cuspidal automorphic representations for the group ${\rm SL}(2, \Bbb{Z})$, where $\pi_1$ and $\pi_2$ are fixed and $\pi_3$ has large conductor. We prove a subconvex bound for $L(1/2, \pi_1 \otimes \pi_2 \otimes \pi_3)$ of Wey...

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Bibliographic Details
Main Authors: Blomer, Valentin, Jana, Subhajit, Nelson, Paul D
Format: Journal Article
Language:English
Published: 02-05-2022
Subjects:
Mathematics - Number Theory
Online Access:Get full text
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Summary:Duke Math J. 172 (6), 1173-1234, (2023) Let $\pi_1, \pi_2, \pi_3$ be three cuspidal automorphic representations for the group ${\rm SL}(2, \Bbb{Z})$, where $\pi_1$ and $\pi_2$ are fixed and $\pi_3$ has large conductor. We prove a subconvex bound for $L(1/2, \pi_1 \otimes \pi_2 \otimes \pi_3)$ of Weyl-type quality. Allowing $\pi_3$ to be an Eisenstein series we also obtain a Weyl-type subconvex bound for $L(1/2 + it, \pi_1 \otimes \pi_2)$.
Bibliography:MPIM-Bonn-2022
DOI:10.48550/arxiv.2101.12106