Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914020517216256 |
|---|---|
| author | Walker, Alexander |
| author_facet | Walker, Alexander |
| contents | We give conditions under which certain digit-restricted integer sets avoid $k$-term arithmetic progressions. These sets and their harmonic sums can be computed efficiently. Through large-scale search, we identify integer sets avoiding arithmetic progressions of length 4 and 10 whose harmonic sums exceed earlier "greedy" constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_06045 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions Walker, Alexander Number Theory Combinatorics 11Y55, 11Y60 We give conditions under which certain digit-restricted integer sets avoid $k$-term arithmetic progressions. These sets and their harmonic sums can be computed efficiently. Through large-scale search, we identify integer sets avoiding arithmetic progressions of length 4 and 10 whose harmonic sums exceed earlier "greedy" constructions. |
| title | Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions |
| topic | Number Theory Combinatorics 11Y55, 11Y60 |
| url | https://arxiv.org/abs/2203.06045 |