A symplectic restriction problem (Q2122068)

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scientific article; zbMATH DE number 7503459

Language	Label	Description	Also known as
English	A symplectic restriction problem	scientific article; zbMATH DE number 7503459

Statements

scholarly article

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A symplectic restriction problem (English)

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Valentin Blomer

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Andrew J. Corbett

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Mathematische Annalen

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publication date

5 April 2022

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full work available at URL

https://arxiv.org/abs/1912.07496

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MaRDI profile type

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Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group

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Modular invariants for real quadratic fields and Kloosterman sums

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A generalized Kohnen-Zagier formula for Maass forms

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Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2

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A relation between triple products of weight 0 and weight 1/2 cusp forms

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Subconvexity for a double Dirichlet series

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On the size of Ikeda lifts

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Spectral summation formula for GSp(4) and moments of spinor \(L\)-functions

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Distribution of Maass of holomorphic cusp forms

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An inner product relation on Saito-Kurokawa lifts

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Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

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Functional equations for Hecke-Maass series

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A few endpoint geodesic restriction estimates for eigenfunctions

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The Bergman kernel and mass equidistribution on the Siegel modular variety

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The cubic moment of central values of automorphic \(L\)-functions

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Kloosterman sums and Fourier coefficients of cusp forms

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A converse theorem for double Dirichlet series and Shintani zeta functions

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Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level

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Geometric invariants for real quadratic fields

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The subconvexity problem for Artin \(L\)-functions

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The theory of Jacobi forms

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Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture

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Nodal domains of Maass forms. I

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Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series

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Local analysis of Selberg's trace formula

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A mean value estimate for real character sums

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Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus

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Mass equidistribution for Hecke eigenforms

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Pullbacks of Saito-Kurokawa lifts

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On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture

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Generalization of Hecke's Correspondence to Siegel Modular Forms

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Fourier coefficients of modular forms of half-integral weight

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The spectral growth of automorphic L-functions.

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\(L^ \infty\) norms of eigenfunctions of arithmetic surfaces

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On the Mean Value of L(1/2, χ ) FW Real Characters

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Heegner points, cycles and Maass forms

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Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift

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Second moments of twisted Koecher-Maass series

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Fourier coefficients of Siegel cusp forms of degree two

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Modular forms of half-integral weight on \(\Gamma_0(4)\)

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Fourier coefficients and modular forms of half-integral weight

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A certain Dirichlet series attached to Siegel modular forms of degree two

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Values of L-series of modular forms at the center of the critical strip

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PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS

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The <i>L</i><sup>2</sup> restriction norm of a <i>GL</i><sub>3</sub> Maass form

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The \(L^2\) restriction norm of a Maass form on \(\mathrm{SL}_{n+1}(\mathbb {Z})\)

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Subconvexity and equidistribution of Heegner points in the level aspect

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Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts

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Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970

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Restrictions of<i>SL</i><sub>3</sub>Maass Forms to Maximal Flat Subspaces

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Geodesic restrictions of arithmetic eigenfunctions

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A RELATIVE TRACE FORMULA FOR A COMPACT RIEMANN SURFACE

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On pairs of closed geodesics on hyperbolic surfaces

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A sum formula for a pair of closed geodesics on a hyperbolic surface

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On the general Kloosterman sums

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Geodesic restrictions for the Casimir operator

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A uniform bound for geodesic periods of eigenfunctions on hyperbolic surfaces

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Entropy bounds and quantum unique ergodicity for Hecke eigenfunctions on division algebras

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On the number of integral points in a three-dimensional region

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Fourier coefficients of half-integral weight cusp forms and Waring's problem

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The quantum unique ergodicity conjecture for thin sets

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Gross-Zagier formula for \(\text{GL}_ 2\).

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00208-021-02268-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2122068

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