| dc.creator | Castillo, Marianela | |
| dc.date | 2011-12-10 | |
| dc.date.accessioned | 2019-11-14T11:58:50Z | |
| dc.date.available | 2019-11-14T11:58:50Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/1162 | |
| dc.identifier | 10.4067/S0716-09172011000300002 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/112953 | |
| dc.description | We prove that for any prime p and any integer k > 2,there exist in the ring Zp of p-adic integers arbitrarily long sequences whose sequence of k-th powers1)has its k-th difference sequence equal to the constant sequence (k!); and 2) is not a sequence of consecutive k-th powers. This shows that the analogue of Buchi's problem for higher powers has a negative answer over Zp.This result for k = 2 was recently obtained by J. Browkin. | es-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/1162/1112 | |
| dc.rights | Derechos de autor 2011 Proyecciones. Journal of Mathematics | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 30 No 3 (2011); 295-302 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 30 Núm. 3 (2011); 295-302 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.title | A note on Buchi´s problem for p-adic numbers | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
