Abstract
In this work, we study the mass equidistribution for holomorphic Hecke eigen-forms and establish, by employing incomplete Poincaré series and the Petersson formula, sharp equidistribution results when the average is performed over intervals much shorter than before. A key feature is the analysis of the off-diagonal terms that result from this shortening of intervals.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 874-891 |
| Number of pages | 18 |
| Journal | Communications on Pure and Applied Mathematics |
| Volume | 56 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2003 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics