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arXiv · 1909.09174

Correction to: Equidistribution of Eisenstein Series in the Level Aspect

Ikuya Kaneko·Shin-ya Koyama
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Abstract

The second author formulated quantum unique ergodicity for Eisenstein series in the prime level aspect in "Equidistribution of Eisenstein series in the level aspect", Commun. Math. Phys. 289(3), 1131-1150 (2009). We point out errors and correct the proofs with partially weakened claims. This article of corrigendum and addendum comprises three sections. Section 1 is devoted to making concise corrections to the claim and the proof of Theorems 1.2 and 1.3, and Sect. 2 serves as a modification of the computation of the contribution from Maass cusp forms. Other relatively marginal mathematical issues and notational/typographical errors are listed afterwards in Sect. 3.

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Ikuya Kaneko, Shin-ya Koyama. 2019-09-19. Correction to: Equidistribution of Eisenstein Series in the Level Aspect. https://doi.org/10.1007/s00220-020-03820-2

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