Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.13735 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914842619674624 |
|---|---|
| author | Angelo, Rodrigo Xu, Max Wenqiang |
| author_facet | Angelo, Rodrigo Xu, Max Wenqiang |
| contents | We prove that if a polynomial has a root mod $p$ for every large prime $p$, then it has a real root. As an application, we show that the primes can't be covered by finitely many positive definite binary quadratic forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_13735 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A polynomial with a root mod $p$ for every $p$ has a real root Angelo, Rodrigo Xu, Max Wenqiang Number Theory We prove that if a polynomial has a root mod $p$ for every large prime $p$, then it has a real root. As an application, we show that the primes can't be covered by finitely many positive definite binary quadratic forms. |
| title | A polynomial with a root mod $p$ for every $p$ has a real root |
| topic | Number Theory |
| url | https://arxiv.org/abs/2210.13735 |