Large values of modular forms

DOI10.4310/CJM.2014.v2.n1.a3zbMath1307.11062arXiv1207.6134MaRDI QIDQ2510909

Nicolas Templier

Publication date: 4 August 2014

Published in: Cambridge Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6134

zbMATH Keywords

sup-norm\(L\)-functionsmean value estimatesautomorphic formsquantum chaosWhittaker functions

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (12)

Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights ⋮ Hybrid sup-norm bounds for Maass newforms of powerful level ⋮ The \(L^2\) restriction norm of a Maass form on \(\mathrm{SL}_{n+1}(\mathbb {Z})\) ⋮ On sup-norms of cusp forms of powerful level ⋮ Lower bounds for Maass forms on semisimple groups ⋮ Anticyclotomic \(p\)-adic \(L\)-functions and Ichino's formula ⋮ Microlocal lifts and quantum unique ergodicity on \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ Optimal sup norm bounds for newforms on \(\mathrm{GL}_2\) with maximally ramified central character ⋮ Large values of cusp forms on \(\mathrm{GL}_n\) ⋮ Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type ⋮ PARALLEL WEIGHT 2 POINTS ON HILBERT MODULAR EIGENVARIETIES AND THE PARITY CONJECTURE ⋮ On the size of 𝑝-adic Whittaker functions

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