New lower bounds for $r_3(N)$
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_ | 1866909237472395264 |
|---|---|
| author | Hunter, Zach |
| author_facet | Hunter, Zach |
| contents | We develop recent ideas of Elsholtz, Proske, and Sauermann to construct denser subsets of $\{1,\dots,N\}$ that lack arithmetic progressions of length $3$. This gives the first quasipolynomial improvement since the original construction of Behrend. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16106 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New lower bounds for $r_3(N)$ Hunter, Zach Combinatorics Number Theory We develop recent ideas of Elsholtz, Proske, and Sauermann to construct denser subsets of $\{1,\dots,N\}$ that lack arithmetic progressions of length $3$. This gives the first quasipolynomial improvement since the original construction of Behrend. |
| title | New lower bounds for $r_3(N)$ |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2401.16106 |