Quantum unique ergodicity for Eisenstein series on $PSL_2({\mathbb {Z}}\backslash PSL_2({\mathbb {R}})$

Dmitry Jakobson

Displaying similar documents to “Quantum unique ergodicity for Eisenstein series on $P S L_{2} (ℤ ∖ P S L_{2} (ℝ)$ ”

Equidistribution of cusp forms on ${PSL}_{2} (𝐙) ∖ {PSL}_{2} (𝐑)$

Dmitri Jakobson (1997)

Annales de l'institut Fourier

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We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on ${PSL}_{2} (Z) ∖ {PSL}_{2} (R)$ . This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on ${PSL}_{2} (Z) ∖ H$ .

Quantum ergodicity of Eigenfunctions on $P S L_{2} (𝐙) / 𝐇^{2}$

Wenzhi Luo, Peter Sarnak (1995)

Publications Mathématiques de l'IHÉS

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Special values of twisted symmetric square $L$ -functions and the trace formula

Jeffrey Stopple (1996)

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Estimates for Fourier coefficients of Siegel cusp forms of degree two

Winfried Kohnen (1993)

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The reciprocal of the beta function and $G L (n, ℝ)$ Whittaker functions

Eric Stade (1994)

Annales de l'institut Fourier

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In this paper we derive, using the Gauss summation theorem for hypergeometric series, a simple integral expression for the reciprocal of Euler’s beta function. This expression is similar in form to several well-known integrals for the beta function itself. We then apply our new formula to the study of $G L (n, ℝ)$ Whittaker functions, which are special functions that arise in the Fourier theory for automorphic forms on the general linear group. Specifically, we deduce explicit integral...

Dedekind sums for Hecke groups

Roelof W. Bruggeman (1995)

Acta Arithmetica

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An analytic function and iterated integrals

Bruno Harris (1988)

Compositio Mathematica

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Displaying similar documents to “Quantum unique ergodicity for Eisenstein series on P S L 2 ( ℤ ∖ P S L 2 ( ℝ ) ”

Equidistribution of cusp forms on PSL 2 ( 𝐙 ) ∖ PSL 2 ( 𝐑 )

Quantum ergodicity of Eigenfunctions on P S L 2 ( 𝐙 ) / 𝐇 2

Special values of twisted symmetric square L -functions and the trace formula

Estimates for Fourier coefficients of Siegel cusp forms of degree two

The reciprocal of the beta function and G L ( n , ℝ ) Whittaker functions

Dedekind sums for Hecke groups

An analytic function and iterated integrals

Displaying similar documents to “Quantum unique ergodicity for Eisenstein series on $P S L_{2} (ℤ ∖ P S L_{2} (ℝ)$ ”

Equidistribution of cusp forms on ${PSL}_{2} (𝐙) ∖ {PSL}_{2} (𝐑)$

Quantum ergodicity of Eigenfunctions on $P S L_{2} (𝐙) / 𝐇^{2}$

Special values of twisted symmetric square $L$ -functions and the trace formula

The reciprocal of the beta function and $G L (n, ℝ)$ Whittaker functions