Hybrid sup-norm bounds for Hecke-Maass cusp forms

DOI10.4171/JEMS/550zbMath1376.11030OpenAlexW2252711426MaRDI QIDQ493144

Nicolas Templier

Publication date: 11 September 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/550

zbMATH Keywords

Diophantine approximationautomorphic formstrace formulaamplification

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (17)

Bounds for eigenforms on arithmetic hyperbolic 3-manifolds ⋮ Hybrid sup-norm bounds for Maass newforms of powerful level ⋮ Analytic properties of spherical cusp forms on \(\mathrm{GL}(n)\) ⋮ On sup-norms of cusp forms of powerful level ⋮ Sup-norm bounds for Eisenstein series ⋮ Concentration of closed geodesics in the homology of modular curves ⋮ Supnorm of modular forms of half-integral weight in the weight aspect ⋮ On the sup-norm of Maass cusp forms of large level. III ⋮ Eisenstein series and an asymptotic for the \(K\)-Bessel function ⋮ Sup-norm and nodal domains of dihedral Maass forms ⋮ The least prime number represented by a binary quadratic form ⋮ Short geodesic loops and \(L^p\) norms of eigenfunctions on large genus random surfaces ⋮ Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces ⋮ Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups ⋮ Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type ⋮ Effective sup-norm bounds on average for cusp forms of even weight ⋮ Beyond the spherical sup-norm problem

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• On the Sup-Norm of Maass Cusp Forms of Large Level: II
• Bounds of eigenfunctions of the Laplacian on compact Riemannian manifolds
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