Bounds for integral moments of quadratic twists of Fourier coefficients of modular forms
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911173562073088 |
|---|---|
| author | Gao, Peng Zhao, Yuetong |
| author_facet | Gao, Peng Zhao, Yuetong |
| contents | In this paper, we obtain under the assumption of the Generalized Riemann Hypothesis upper bounds for all high integral moments of sums of Fourier coefficients of a given modular form twisted by quadratic Dirichlet characters. We show the bounds are optimal by establishing unconditionally the corresponding lower bounds for all even integer moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounds for integral moments of quadratic twists of Fourier coefficients of modular forms Gao, Peng Zhao, Yuetong Number Theory In this paper, we obtain under the assumption of the Generalized Riemann Hypothesis upper bounds for all high integral moments of sums of Fourier coefficients of a given modular form twisted by quadratic Dirichlet characters. We show the bounds are optimal by establishing unconditionally the corresponding lower bounds for all even integer moments. |
| title | Bounds for integral moments of quadratic twists of Fourier coefficients of modular forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.20085 |