Diophantine transference principle over function fields
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917840995483648 |
|---|---|
| author | Das, Sourav Ganguly, Arijit |
| author_facet | Das, Sourav Ganguly, Arijit |
| contents | We study the Diophantine transference principle over function fields. By adapting the approach of Beresnevich and Velani to the function field set-up, we extend many results from homogeneous Diophantine approximation to the realm of inhomogeneous Diophantine approximation over function fields. This also yields the inhomogeneous Baker-Sprindzuk conjecture over function fields as a consequence. Furthermore, we prove the upper bounds for the general non-extremal scenario. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00419 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Diophantine transference principle over function fields Das, Sourav Ganguly, Arijit Number Theory 11J61, 11J83, 11K60, 37D40, 37A17, 22E40 We study the Diophantine transference principle over function fields. By adapting the approach of Beresnevich and Velani to the function field set-up, we extend many results from homogeneous Diophantine approximation to the realm of inhomogeneous Diophantine approximation over function fields. This also yields the inhomogeneous Baker-Sprindzuk conjecture over function fields as a consequence. Furthermore, we prove the upper bounds for the general non-extremal scenario. |
| title | Diophantine transference principle over function fields |
| topic | Number Theory 11J61, 11J83, 11K60, 37D40, 37A17, 22E40 |
| url | https://arxiv.org/abs/2312.00419 |