Lower bounds for Maass forms on semisimple groups
From MaRDI portal
Publication:5107804
DOI10.1112/S0010437X20007125zbMath1437.11069arXiv1604.02019OpenAlexW3099219845MaRDI QIDQ5107804
Farrell Brumley, Simon Marshall
Publication date: 28 April 2020
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02019
Forms of half-integer weight; nonholomorphic modular forms (11F37) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (5)
Analytic properties of spherical cusp forms on \(\mathrm{GL}(n)\) ⋮ Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients ⋮ EXTREME VALUES OF GEODESIC PERIODS ON ARITHMETIC HYPERBOLIC SURFACES ⋮ QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF IN THE BENJAMINI–SCHRAMM LIMIT ⋮ Beyond the spherical sup-norm problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large values of eigenfunctions on arithmetic hyperbolic 3-manifolds
- On representations distinguished by unitary groups
- Perverse sheaves on real loop Grassmannians
- Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten
- Stable trace formula: Elliptic singular terms
- Ergodicity and eigenfunctions of the Laplacian
- Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- Tamagawa numbers
- Spectra of compact locally symmetric manifolds of negative curvature
- A trace formula for symmetric spaces
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
- On the motive of a reductive group
- An approximation principle for congruence subgroups
- \(L^ \infty\) norms of eigenfunctions of arithmetic surfaces
- Riemannian manifolds with maximal eigenfunction growth
- Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\)
- On rationality properties of involutions of reductive groups
- Large values of modular forms
- Some results on an invariant integral on a semi-simple Lie algebra
- Discrete series for semisimple Lie groups. II: Explicit determination of the characters
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- Compact Clifford-Klein forms of symmetric spaces
- Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok.
- The sup-norm problem on the Siegel modular space of rank two
- Spherical functions on spherical varieties
- A Formula for Semisimple Lie Groups
- Exceptional sequences of eigenfunctions for hyperbolic manifolds
- Compact unitary periods
- On the unramified spectrum of spherical varieties over p-adic fields
- Opération de groupes réductifs dans un type de cônes presque homogènes
- Large Values of Newforms on GL(2) with Highly Ramified Central Character
- Periods and harmonic analysis on spherical varieties
- Endomorphisms of linear algebraic groups
- Kloosterman identities over a quadratic extension II
- Lie groups beyond an introduction
This page was built for publication: Lower bounds for Maass forms on semisimple groups