Effective quantum unique ergodicity for Hecke-Maass newforms and Landau-Siegel zeros
Number Theory
2022-10-28 v1
Abstract
We show that Landau-Siegel zeros for Dirichlet -functions do not exist or quantum unique ergodicity for Hecke-Maass newforms holds with an effective rate of convergence. This follows from a more general result: Landau-Siegel zeros of Dirichlet -functions repel the zeros of all other automorphic -functions from the line .
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Cite
@article{arxiv.2201.01768,
title = {Effective quantum unique ergodicity for Hecke-Maass newforms and Landau-Siegel zeros},
author = {Jesse Thorner},
journal= {arXiv preprint arXiv:2201.01768},
year = {2022}
}
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11 pages