Sign Changes of the Eisenstein Series on the Critical Line
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2017 The Author(s). Weprove a quantitative lower bound on the number of nodal domains of the real-analytic Eisenstein series on the modular surface. The main tool in the proof is a quantitative restricted quantum unique ergodicity theorem where the support of the test function is allowed to shrink with the Laplace eigenvalue.
International Mathematics Research Notices
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