A note on the standard zero-free region for $L$-functions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913544555986944 |
|---|---|
| author | Leung, Sun-Kai |
| author_facet | Leung, Sun-Kai |
| contents | In this short note, we establish a standard zero-free region for a general class of $L$-functions for which their logarithms have coefficients with nonnegative real parts, which includes the Rankin--Selberg $L$-functions for unitary cuspidal automorphic representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09910 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the standard zero-free region for $L$-functions Leung, Sun-Kai Number Theory Complex Variables 11F66, 11M41 In this short note, we establish a standard zero-free region for a general class of $L$-functions for which their logarithms have coefficients with nonnegative real parts, which includes the Rankin--Selberg $L$-functions for unitary cuspidal automorphic representations. |
| title | A note on the standard zero-free region for $L$-functions |
| topic | Number Theory Complex Variables 11F66, 11M41 |
| url | https://arxiv.org/abs/2410.09910 |