The sup-norm problem for automorphic cusp forms of 𝑃𝐺𝐿(𝑛,ℤ[𝕚])

DOI10.1090/proc/16576arXiv2301.04405OpenAlexW4380608675MaRDI QIDQ6183373

Péter Maga, Gergely Zábrádi

Publication date: 4 January 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.04405

zbMATH Keywords

Diophantine approximationtrace formulaHecke operatorsamplificationsup-norm problemautomorphic forms in higher rank

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Diophantine inequalities (11D75) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• Bounds for eigenforms on arithmetic hyperbolic 3-manifolds
• Nodal domains of Maass forms. I
• Subconvexity for sup-norms of cusp forms on \(\mathrm{PGL}(n)\)
• Twisted \(L\)-functions over number fields and Hilbert's eleventh problem
• The behaviour of eigenstates of arithmetic hyperbolic manifolds
• \(L^ \infty\) norms of eigenfunctions of arithmetic surfaces
• Large values of cusp forms on \(\mathrm{GL}_n\)
• The sup-norm problem for GL(2) over number fields
• Explicit subconvexity savings for sup-norms of cusp forms on \(\mathrm{PGL}_n(\mathbb{R})\)
• The sup-norm problem on the Siegel modular space of rank two
• The Sup-Norm Problem for PGL(4)
• On the Linear Independence of Fractional Powers of Integers

This page was built for publication: The sup-norm problem for automorphic cusp forms of 𝑃𝐺𝐿(𝑛,ℤ[𝕚])