On odd covering systems with distinct moduli
| dc.creator | Guo, Song | |
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2004-12-10 | |
| dc.date | 2005-09-14 | |
| dc.date.accessioned | 2026-07-07T05:15:12Z | |
| dc.date.available | 2026-07-07T05:15:12Z | |
| dc.description | A famous unsolved conjecture of P. Erdos and J. L. Selfridge states that there does not exist a covering system {a_s(mod n_s)}_{s=1}^k with the moduli n_1,...,n_k odd, distinct and greater than one. In this paper we show that if such a covering system {a_s(mod n_s)}_{s=1}^k exists with n_1,...,n_k all square-free, then the least common multiple of n_1,...,n_k has at least 22 prime divisors. | |
| dc.description | 7 pages, final version | |
| dc.identifier | https://arxiv.org/abs/math/0412217 | |
| dc.identifier | http://arxiv.org/abs/math/0412217 | |
| dc.identifier | Adv. Appl. Math. 35(2005), 182--187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73554 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11B25; 11A07; 11B75 | |
| dc.title | On odd covering systems with distinct moduli | |
| dc.type | text |