Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity

DOI10.1112/S0010437X20007460zbMath1477.11101arXiv1905.06295OpenAlexW3111354129MaRDI QIDQ5148395

Abhishek Saha, Yueke Hu

Publication date: 4 February 2021

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

Full work available at URL: https://arxiv.org/abs/1905.06295

zbMATH Keywords

sup-normnewform\(L\)-functionautomorphic formquaternion algebramatrix coefficientsubconvexityamplificationMaass formlevel aspectdepth aspect

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (3)

Hybrid bounds for the sup-norm of automorphic forms in higher rank ⋮ Short geodesic loops and \(L^p\) norms of eigenfunctions on large genus random surfaces ⋮ Delocalisation of eigenfunctions on large genus random surfaces

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