On the fourth moment of Hecke–Maass forms and the random wave conjecture

DOI10.1112/S0010437X17007199zbMath1398.11072arXiv1606.06703OpenAlexW3100106249WikidataQ122879393 ScholiaQ122879393MaRDI QIDQ4977236

Rizwanur Khan, Jack Buttcane

Publication date: 3 August 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06703

zbMATH Keywords

\(L\)-functionsautomorphic formsquantum chaosrandom wave conjecture\(L^4\)-norm

Mathematics Subject Classification ID

Quantum chaos (81Q50) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12)

Related Items (6)

The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). II: The general case ⋮ Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms ⋮ A conjecture for the regularized fourth moment of Eisenstein series ⋮ The fifth moment of Hecke L-functions in the weight aspect ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ On the random wave conjecture for dihedral Maaß forms

Uses Software

• GL(n)pack

Cites Work

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