The sup-norm problem for GL(2) over number fields
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2016
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913578215276544 |
|---|---|
| author | Blomer, Valentin Harcos, Gergely Maga, Péter Milićević, Djordje |
| author_facet | Blomer, Valentin Harcos, Gergely Maga, Péter Milićević, Djordje |
| contents | We solve the sup-norm problem for spherical Hecke-Maass newforms of square-free level for the group GL(2) over a number field, with a power saving over the local geometric bound simultaneously in the eigenvalue and the level aspect. Our bounds feature a Weyl-type exponent in the level aspect, they reproduce or improve upon all known special cases, and over totally real fields they are as strong as the best known hybrid result over the rationals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1605_09360 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | The sup-norm problem for GL(2) over number fields Blomer, Valentin Harcos, Gergely Maga, Péter Milićević, Djordje Number Theory 11F72, 11F55, 11J25 We solve the sup-norm problem for spherical Hecke-Maass newforms of square-free level for the group GL(2) over a number field, with a power saving over the local geometric bound simultaneously in the eigenvalue and the level aspect. Our bounds feature a Weyl-type exponent in the level aspect, they reproduce or improve upon all known special cases, and over totally real fields they are as strong as the best known hybrid result over the rationals. |
| title | The sup-norm problem for GL(2) over number fields |
| topic | Number Theory 11F72, 11F55, 11J25 |
| url | https://arxiv.org/abs/1605.09360 |