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Quantum unique ergodicity of Eisenstein series on the Hilbert modular group over a totally real field

Quantum unique ergodicity of Eisenstein series on the Hilbert modular group over a totally real field

W. Luo and P. Sarnak have proved the quantum unique ergodicity property for Eisenstein series on PSL(2, ℤ)\ℍ. Their result is quantitative in the sense that they find the precise asymptotics of the measure considered. We extend their result to Eisenstein series on , where 𝒪 is the ring of …