Determination of \(\text{GL}(3)\) cusp forms by central values of \(\text{GL}(3)\times \text{GL}(2)\, L\)-functions, level aspect
type: Item
instance of: scholarly article
title: Determination of \(\text{GL}(3)\) cusp forms by central values of \(\text{GL}(3)\times \text{GL}(2)\, L\)-functions, level aspect
zbMATH Open document ID: 1272.11068
author: Sheng-Chi Liu
published in: Journal of Number Theory
publication date: 2011-05-23T00:00:00Z
Mathematics Subject Classification ID: 11F67
Mathematics Subject Classification ID: 11F41
Mathematics Subject Classification ID: 11F55
zbMATH DE Number: 5899182
zbMATH Keywords: central values of \(L\)-functions
zbMATH Keywords: multiplicity one theorem
describes a project that uses: GL(n)pack
MaRDI profile type: Publication
full work available at URL: j.jnt.2011.01.014
OpenAlex ID: W2055477620
cites work: Q3367825
cites work: Determining modular forms on \(\text{SL}_2(\mathbb Z)\) by central values of convolution \(L\)-functions
cites work: Automorphic Forms and L-Functions for the GroupGL(n, R)
cites work: Voronoi formulas on GL(n)
cites work: Q4830109
cites work: Q4415551
cites work: A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
cites work: On Euler Products and the Classification of Automorphic Representations I
cites work: Q4779929
cites work: Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
cites work: Special \(L\)-values of Rankin-Selberg convolutions
cites work: Determination of modular forms by twists of critical \(L\)-values
cites work: Q4263342
cites work: Q3158972
cites work: Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
cites work: Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
DOI: 10.1016/J.JNT.2011.01.014
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description: scientific article; zbMATH DE number 5899182