One-level densities of large even and odd orthogonal families of automorphic L-functions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917503336185856 |
|---|---|
| author | Chandee, Vorrapan Li, Xiannan Milinovich, Micah B. |
| author_facet | Chandee, Vorrapan Li, Xiannan Milinovich, Micah B. |
| contents | We prove one-level density results for L-functions attached to primitive forms of level q, averaged over square-free q, conditional on the Generalized Riemann Hypothesis (GRH). We treat the even and odd orthogonal families separately and extend the support of the Fourier transform of the test function to (-3,3). This extended support yields the strongest known non-vanishing results for these families of L-functions and their derivatives at the central point, conditional on GRH. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17012 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | One-level densities of large even and odd orthogonal families of automorphic L-functions Chandee, Vorrapan Li, Xiannan Milinovich, Micah B. Number Theory 11M50, 11F11, 11F72 We prove one-level density results for L-functions attached to primitive forms of level q, averaged over square-free q, conditional on the Generalized Riemann Hypothesis (GRH). We treat the even and odd orthogonal families separately and extend the support of the Fourier transform of the test function to (-3,3). This extended support yields the strongest known non-vanishing results for these families of L-functions and their derivatives at the central point, conditional on GRH. |
| title | One-level densities of large even and odd orthogonal families of automorphic L-functions |
| topic | Number Theory 11M50, 11F11, 11F72 |
| url | https://arxiv.org/abs/2605.17012 |