Subconvexity bound for GL(3) × GL(2) L-functions : Hybrid level aspect

Kumar, Sumit; Munshi, Ritabrata; Kumar Singh, Saurabh

doi:10.2140/ant.2024.18.477

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

Author index

To appear

Other MSP journals

Subconvexity bound for $\operatorname{GL}(3) \times \operatorname{GL}(2)$ $L$-functions: Hybrid level aspect

Sumit Kumar, Ritabrata Munshi and Saurabh Kumar Singh

Vol. 18 (2024), No. 3, 477–497

DOI: 10.2140/ant.2024.18.477

Abstract

Let $F$ be a $GL (3)$ Hecke–Maass cusp form of prime level $P_{1}$ and let $f$ be a $GL (2)$ Hecke–Maass cuspform of prime level $P_{2}$ . We will prove a subconvex bound for the $GL (3) \times GL (2)$ Rankin–Selberg $L$ -function $L (s, F \times f)$ in the level aspect for certain ranges of the parameters $P_{1}$ and $P_{2}$ .

Keywords

subconvexity, Rankin–Selberg $L$-functions, Hecke–Maass forms

Mathematical Subject Classification

Primary: 11F66, 11M41

Secondary: 11F55

Milestones

Received: 5 February 2022

Revised: 9 January 2023

Accepted: 29 May 2023

Published: 16 February 2024

Authors

Sumit Kumar
Alfred Renyi Institute of Mathematics Budapest Hungary

Ritabrata Munshi
Stat-Math Unit Indian Statistical Institute Kolkata India

Saurabh Kumar Singh
Department of Mathematics and Statistics Indian Institute of Technology Kanpur India

Open Access made possible by participating institutions via Subscribe to Open.

Vol. 18, No. 3, 2024