Automorphic spectral identities and applications to automorphic \(L\)-functions on \(\mathrm{GL}_2\)

DOI10.1016/j.jnt.2012.05.028zbMath1300.11051arXiv0904.1028OpenAlexW2025583155MaRDI QIDQ1762311

Delia Letang

Publication date: 23 November 2012

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

Full work available at URL: https://arxiv.org/abs/0904.1028

zbMATH Keywords

Poincaré seriesautomorphic \(L\)-functionsspectral decompositionsubconvexityintegral momentsconductor aspect

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Bounds for \(\mathrm{GL}_{3}\,L\)-functions in depth aspect ⋮ A spectral identity for second moments of Eisenstein series of \(\mathrm{O}(n,1)\)

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