Mass equidistribution for Saito-Kurokawa lifts
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Publication:6614094
DOI10.1007/s00039-024-00690-xMaRDI QIDQ6614094
Abhishek Saha, S. J. Lester, Jesse Jääsaari
Publication date: 7 October 2024
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)
Cites Work
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- Distribution of values of symmetric power \(L\)-functions at the edge of the critical strip
- A note on mass equidistribution of holomorphic Siegel modular forms
- Mass equidistribution of Hilbert modular eigenforms
- Sieving for mass equidistribution
- 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
- Moments of the Riemann zeta function
- The theory of Jacobi forms
- On the size of Ikeda lifts
- Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
- The second moment of quadratic twists of modular \(L\)-functions
- Ergodicity and eigenfunctions of the Laplacian
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- Values of L-series of modular forms at the center of the critical strip
- Distribution of zeros of random and quantum chaotic sections of positive line bundles
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- The cubic moment of central values of automorphic \(L\)-functions
- Semiclassical measures on hyperbolic surfaces have full support
- A generalized cubic moment and the Petersson formula for newforms
- Subconvexity for Rankin-Selberg \(L\)-functions of Maass forms.
- Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
- Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
- Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
- Quantum unique ergodicity for half-integral weight automorphic forms
- Entropy and the localization of eigenfunctions
- Local and global Maass relations
- On quantum unique ergodicity for locally symmetric spaces
- Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- Über die analytische Theorie der quadratischen Formen.
- An inner product relation on Saito-Kurokawa lifts
- Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels
- The Bergman kernel and mass equidistribution on the Siegel modular variety
- Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂
- Explicit upper bounds for 𝐿-functions on the critical line
- Mass equidistribution for Hecke eigenforms
- Triple Product Formula and Mass Equidistribution on Modular Curves of Level N
- The Saito-Kurokawa lifting and functoriality
- Symplectic Geometry
- Control of eigenfunctions on surfaces of variable curvature
- Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity
- ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2
- The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound
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