Sieving for mass equidistribution

zbMath1214.11054arXiv0809.1640MaRDI QIDQ601877

Roman Holowinsky

Publication date: 29 October 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1640

zbMATH Keywords

modular formssieveshifted convolution sumsmass equidistribution

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Applications of sieve methods (11N36) Automorphic forms, one variable (11F12)

Related Items (20)

A central limit theorem for integrals of random waves ⋮ Some recents advances on Duke’s equidistribution theorems ⋮ Equidistribution of Eisenstein series on geodesic segments ⋮ Recent progress on the quantum unique ergodicity conjecture ⋮ Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂ ⋮ On the local maxima behaviour of Hecke eigenvalues and its applications ⋮ The unipotent mixing conjecture ⋮ Mass equidistribution of Hilbert modular eigenforms ⋮ Joint equidistribution of CM points ⋮ Equidistribution of cusp forms in the level aspect ⋮ Exponential sums with multiplicative coefficients without the Ramanujan conjecture ⋮ The eigenvector moment flow and local quantum unique ergodicity ⋮ Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices ⋮ Shifted convolution sums related to Hecke-Maass forms ⋮ Quantum unique ergodicity for half-integral weight automorphic forms ⋮ Multifractal eigenfunctions for a singular quantum billiard ⋮ Subconvex equidistribution of cusp forms: reduction to Eisenstein observables ⋮ Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels ⋮ Evaluating modular forms on Shimura curves ⋮ Fluctuations in local quantum unique ergodicity for generalized Wigner matrices

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