New bounds for fundamental Fourier coefficients of Siegel modular forms
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909374541201408 |
|---|---|
| author | Assing, Edgar |
| author_facet | Assing, Edgar |
| contents | We prove new bounds for the Fourier coefficients of Jacobi forms using a method of Iwaniec. In view of the Fourier-Jacobi expansion of degree two Siegel modular forms, we can use these to obtain strong bounds on fundamental Fourier coefficients of Siegel modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New bounds for fundamental Fourier coefficients of Siegel modular forms Assing, Edgar Number Theory 11F30, 11F46, 11F50, 11L05 We prove new bounds for the Fourier coefficients of Jacobi forms using a method of Iwaniec. In view of the Fourier-Jacobi expansion of degree two Siegel modular forms, we can use these to obtain strong bounds on fundamental Fourier coefficients of Siegel modular forms. |
| title | New bounds for fundamental Fourier coefficients of Siegel modular forms |
| topic | Number Theory 11F30, 11F46, 11F50, 11L05 |
| url | https://arxiv.org/abs/2411.00450 |