A spectral mean value theorem for \(\text{GL}(3)\)

DOI10.1016/J.JNT.2010.04.008zbMath1208.11070OpenAlexW2014710845MaRDI QIDQ710480

Xiaoqing Li

Publication date: 19 October 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.04.008

zbMATH Keywords

Kloosterman sumWeyl lawKuznetsov formula

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums ⋮ Applications of the Kuznetsov formula on \(\mathrm{GL}(3)\) ⋮ On sums of \(\mathrm{SL}(3,\mathbb{Z})\) Kloosterman sums ⋮ The Spectral Kuznetsov Formula on $SL(3)$

Uses Software

• GL(n)pack

Cites Work

• Unnamed Item
• Existence and Weyl's law for spherical cusp forms
• Weyl's law for the cuspidal spectrum of \(\mathrm{SL}(n)\)
• Spectra of compact locally symmetric manifolds of negative curvature
• On the cuspidal spectrum for finite volume symmetric spaces
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Spectral asymptotics for arithmetic quotients of \(\text{SL}(n,{\mathbb R})/\text{SO}(n)\)
• On the existence and temperedness of cusp forms for SL3(Z)
• Poincaré series and Kloosterman sums for SL(3, Z)
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Fonctions de Whittaker associées aux groupes de Chevalley
• On the multiplicity of the spectrum of the space of cusp forms of 𝐺𝐿_{𝑛}

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