Arithmetic Properties of Periodic Maps
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2004-02-18 | |
| dc.date | 2004-04-02 | |
| dc.date.accessioned | 2026-07-07T05:05:32Z | |
| dc.date.available | 2026-07-07T05:05:32Z | |
| dc.description | Let $ψ_1,...,ψ_k$ be periodic maps from $\Bbb Z$ to a field of characteristic p (where p is zero or a prime). Assume that positive integers $n_1,...,n_k$ not divisible by p are their periods respectively. We show that $ψ_1+...+ψ_k$ is constant if $ψ_1(x)+...+ψ_k(x)$ equals a constant for |S| consecutive integers x where S={r/n_s: r=0,...,n_s-1; s=1,...,k}. We also present some new results on finite systems of arithmetic sequences. | |
| dc.description | 10 pages; accepted by Math. Res. Lett. Also available from http://pweb.nju.edu.cn/zwsun | |
| dc.identifier | https://arxiv.org/abs/math/0402289 | |
| dc.identifier | http://arxiv.org/abs/math/0402289 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70201 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11B25; 11A07; 11A25 | |
| dc.title | Arithmetic Properties of Periodic Maps | |
| dc.type | text |