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.