On the range of a covering function
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2004-09-16 | |
| dc.date | 2004-09-21 | |
| dc.date.accessioned | 2026-07-07T05:12:12Z | |
| dc.date.available | 2026-07-07T05:12:12Z | |
| dc.description | Let {a_s(mod n_s)}_{s=1}^k (k>1) be a finite system of residue classes with the moduli n_1,...,n_k distinct. By means of algebraic integers we show that the range of the covering function w(x)=|{1\le s\le k: x=a_s (mod n_s)}| is not contained in any residue class with modulus greater one. In particular, the values of w(x) cannot have the same parity. | |
| dc.description | 7 pages; to appear in J. Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0409279 | |
| dc.identifier | http://arxiv.org/abs/math/0409279 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72495 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11B25; 11A07; 11A25; 11B75; 11R04 | |
| dc.title | On the range of a covering function | |
| dc.type | text |