Bounds for eigenforms on arithmetic hyperbolic 3-manifolds

DOI10.1215/00127094-3166952zbMath1339.11062arXiv1401.5154OpenAlexW1834321653WikidataQ125657914 ScholiaQ125657914MaRDI QIDQ272926

Djordje Milićević, Valentin Blomer, Gergely Harcos

Publication date: 21 April 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5154

zbMATH Keywords

sup-normautomorphic formamplificationgeometry of numbersarithmetic hyperbolic 3-manifoldDiophantine analysispretrace formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Diophantine inequalities (11J25) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (11)

On sup-norms of cusp forms of powerful level ⋮ Supnorm of an eigenfunction of finitely many Hecke operators ⋮ Fourier expansion of light‐cone Eisenstein series ⋮ The sup-norm problem for automorphic cusp forms of 𝑃𝐺𝐿(𝑛,ℤ[𝕚)] ⋮ Supnorm of modular forms of half-integral weight in the weight aspect ⋮ On the global sup-norm of \(\mathrm{GL}(3)\) cusp forms ⋮ The amplification method in the context of \(\mathrm{GL}(n)\) automorphic forms ⋮ Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces ⋮ Subconvexity for sup-norms of cusp forms on \(\mathrm{PGL}(n)\) ⋮ Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type ⋮ Beyond the spherical sup-norm problem

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