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arXiv · 1606.07782

Sign changes of the Eisenstein series on the critical line

Junehyuk Jung·Matthew P. Young
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Abstract

We prove a quantitative lower bound on the number of nodal domains of the real-analytic Eisenstein series. The main tool in the proof is a quantitative restricted QUE theorem where the support of the test function is allowed to shrink with the Laplace eigenvalue.

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Junehyuk Jung, Matthew P. Young. 2016-06-24. Sign changes of the Eisenstein series on the critical line. https://doi.org/10.1093/imrn%2Frnx139

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