Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2602.13617 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910022195216384 |
|---|---|
| author | Ho, Boon Suan |
| author_facet | Ho, Boon Suan |
| contents | Let $θ(n)$ be the number of permutations of $\{1,\dots,n\}$ with no $3$-term arithmetic progressions. We prove that $\lim_{n\to\infty}θ(n)^{1/n}$ does not exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13617 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 3AP-free permutations have no exponential growth rate Ho, Boon Suan Combinatorics Let $θ(n)$ be the number of permutations of $\{1,\dots,n\}$ with no $3$-term arithmetic progressions. We prove that $\lim_{n\to\infty}θ(n)^{1/n}$ does not exist. |
| title | 3AP-free permutations have no exponential growth rate |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2602.13617 |