Work

On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions

Year: 2011

Type: preprint

Abstract: Fix $g$ a self-dual Hecke-Maass form for $SL_3(\mathbb{Z})$. Let $f$ be a holomorphic newform of prime level $q$ and fixed weight. Conditional on a lower bound for a short sum of squares of Fourier coefficients of $f$, we prove a subconvexity bound in the $q$ aspect for $L(s, g\times f)$ at the central point.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1107.2042

Author: Khan, Rizwanur

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1601376004

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Cited by: 1

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