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arXiv:1711.03944 [math.NT]AbstractReferencesReviewsResources

Equidistribution of Eisenstein series on geodesic segments

Published 2017-11-10Version 1

We study the $L^2$ norm of the Eisenstein series $E(z,1/2+iT)$ restricted to a segment of a geodesic connecting infinity and an arbitrary real. We show that on geodesics of this form, the Eisenstein series satisfies restricted QUE. Moreover, we show that the zero set of the Eisenstein series intersects every such geodesic segment, provided $T$ is large.

Comments: 38 pages. This paper proves the main conjecture from my earlier preprint arXiv:1508.01470, which is now superseded
Categories: math.NT
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