Plancherel Distribution of Satake Parameters of Maass Cusp Forms on GL3

DOI10.1093/imrn/rny061zbMath1437.11079arXiv1611.01253OpenAlexW3100113185WikidataQ130086201 ScholiaQ130086201MaRDI QIDQ4960129

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Publication date: 8 April 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01253

zbMATH Keywords

equidistributionSatake parametersMaass cusp forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (10)

The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). II: The general case ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ Optimal Diophantine exponents for \(\mathrm{SL}(n)\) ⋮ Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\) ⋮ A \(\mathrm{GL}_3\) analog of Selberg's result on \(S(t)\) ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms on \(\mathrm{GL}_3\) ⋮ Kuznetsov, Petersson and Weyl on \(\mathrm{GL}(3)\). II: The generalized principal series forms ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ Holomorphy of adjoint \(L\) functions for quasisplit \(A_2\) ⋮ An orthogonality relation for (with an appendix by Bingrong Huang)

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