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Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms - MaRDI portal

Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms (Q1659928)

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Language	Label	Description	Also known as
English	Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms	scientific article

Statements

scholarly article

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Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms (English)

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Mathematische Annalen

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publication date

23 August 2018

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full work available at URL

https://arxiv.org/abs/1705.05488

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zbMATH Keywords

shrinking sets

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Eisenstein series

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Hecke-Maaß eigenforms

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Heegner points

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Peter J. Humphries

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MaRDI profile type

MaRDI publication profile

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Regular and irregular semiclassical wavefunctions

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The second moment of twisted modular \(L\)-functions

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Decoupling, exponential sums and the Riemann zeta function

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Spatial statistics for lattice points on the sphere I: Individual results

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A mean value of a triple product of \(L\)-functions

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On the fourth moment of Hecke–Maass forms and the random wave conjecture

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The quantum unique ergodicity conjecture for thin sets

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A conjecture for the regularized fourth moment of Eisenstein series

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Hyperbolic distribution problems and half-integral weight Maass forms

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Geometric invariants for real quadratic fields

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The distribution of closed geodesics on the modular surface, and Duke's Theorem

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Linnik's ergodic method and the distribution of integer points on spheres

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Planck-scale mass equidistribution of toral Laplace eigenfunctions

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Small scale quantum ergodicity in negatively curved manifolds

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Small scale equidistribution of random eigenbases

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Subconvexity and equidistribution of Heegner points in the level aspect

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Emerging applications of number theory. Based on the proceedings of the IMA summer program, Minneapolis, MN, USA, July 15--26, 1996

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On the Topography of Maass Waveforms for PSL(2, Z)

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On quantum chaos and Maass waveforms of CM-type.

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\(L^{p}\) norms, nodal sets, and quantum ergodicity

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Quantitative equidistribution properties of toral eigenfunctions

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Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman

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Quantum unique ergodicity for Eisenstein series on \(PSL_ 2(\mathbb{Z}){\setminus}PSL_ 2(\mathbb{R})\)

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Trilinear forms and the central values of triple product \(L\)-functions

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On sums of Hecke series in short intervals

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The spectral mean square of Hecke L -functions on the critical line

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Uniform bound for Hecke \(L\)-functions

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Small scale distribution of zeros and mass of modular forms

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Small scale equidistribution of eigenfunctions on the torus

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Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph

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L 4-Norms of the Dihedral Maass Forms

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Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)

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Large values of eigenfunctions on arithmetic hyperbolic surfaces

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Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels

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Spectra of hyperbolic surfaces

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Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\)

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Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets

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Identifiers

zbMATH Open document ID

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10.1007/s00208-018-1677-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1659928

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