Quantum unique ergodicity for Eisenstein series in the level aspect
DOI10.1007/s00220-021-04020-2zbMath1469.11148arXiv1910.07164OpenAlexW3130996088MaRDI QIDQ2035915
Publication date: 2 July 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.07164
Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)
Cites Work
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- Mass equidistribution for Hecke eigenforms
- Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\)
- Equidistribution of cusp forms in the level aspect
- On the Rankin-Selberg method for functions not of rapid decay on congruence subgroups
- The quantum unique ergodicity conjecture for thin sets
- Trilinear forms and the central values of triple product \(L\)-functions
- Kloosterman sums and Fourier coefficients of cusp forms
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- The subconvexity problem for Artin \(L\)-functions
- Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms
- The subconvexity problem for \(\mathrm{GL}_2\)
- Explicit calculations with Eisenstein series
- Microlocal lifts and quantum unique ergodicity on \(\mathrm{GL}_2(\mathbb Q_p)\)
- Rankin-Selberg \(L\)-functions in the level aspect.
- Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
- The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor
- Correction to: ``Equidistribution of Eisenstein series in the level aspect
- The second moment of twisted modular \(L\)-functions
- Equidistribution of Eisenstein series in the level aspect
- Effective lower bounds for \(L(1,\chi)\) via Eisenstein series
- Kloosterman sums and Fourier coefficients of Eisenstein series
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- Hecke operators on \(\Gamma_0(m)\)
- Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
- Subconvexity and equidistribution of Heegner points in the level aspect
- Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels
- Quantum Limits of Eisenstein Series and Scattering States
- Recent progress on the quantum unique ergodicity conjecture
- Twist‐minimal trace formulas and the Selberg eigenvalue conjecture
- Hybrid bounds for twisted L-functions
- Triple Product Formula and Mass Equidistribution on Modular Curves of Level N
- SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms
- Deducing Selberg trace formula via Rankin–Selberg method for 𝐺𝐿₂
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