Abstract
We show that Landau-Siegel zeros for Dirichlet L-functions do not exist or that quantum unique ergodicity for GL2 Hecke-Maass newforms holds with an effective rate of convergence. This follows from a more general result: Landau-Siegel zeros of Dirichlet L-functions repel the zeros of all other automorphic L-functions from the line Re(s)=1.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1089-1102 |
| Number of pages | 14 |
| Journal | Quarterly Journal of Mathematics |
| Volume | 73 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1 2022 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics