On the Ramanujan-Petersson conjecture for modular forms of half-integral weight
We investigate the (still unknown) Ramanujan-Petersson conjecture about the growth of the Fourier coefficients of cusp forms of half-integral weight and prove that it is optimal, at least for newforms in the plus space.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
19.02.2019
|
| In: |
Forum mathematicum
Year: 2019, Volume: 31, Issue: 3, Pages: 703-711 |
| ISSN: | 1435-5337 |
| DOI: | 10.1515/forum-2018-0179 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1515/forum-2018-0179 Verlag, Volltext: https://www.degruyterbrill.com/view/j/forum.2019.31.issue-3/forum-2018-0179/forum-2018-0179.xml 
|
| Author Notes: | Sanoli Gun, Winfried Kohnen |
| Summary: | We investigate the (still unknown) Ramanujan-Petersson conjecture about the growth of the Fourier coefficients of cusp forms of half-integral weight and prove that it is optimal, at least for newforms in the plus space. |
|---|---|
| Item Description: | Gesehen am 03.07.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1435-5337 |
| DOI: | 10.1515/forum-2018-0179 |