Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type

DOI10.4171/CMH/473zbMath1443.11062arXiv1709.10362OpenAlexW2996654136MaRDI QIDQ2301918

Yueke Hu, Paul D. Nelson, Abhishek Saha

Publication date: 25 February 2020

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10362

zbMATH Keywords

sup-normautomorphic formautomorphic representationminimal vectorslevel aspectquantum unique ergodicity (QUE)

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Representations of Lie and linear algebraic groups over local fields (22E50) 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 (6)

Explicit Burgess-like subconvex bounds for \(\mathrm{GL_2 \times GL_1}\) ⋮ The Manin constant and the modular degree ⋮ Cube sums of the forms \(3p\) and \(3p^2\). II ⋮ Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity ⋮ Optimal sup norm bounds for newforms on \(\mathrm{GL}_2\) with maximally ramified central character ⋮ Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces

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