A note on Büchi's problem for p-adic numbers

dc.creator	Castillo, Marianela	es
dc.date	2011-12-10
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1162
dc.identifier	10.4067/S0716-09172011000300002
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 powers 1) 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
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1162/1112
dc.rights	Copyright (c) 2011 Proyecciones. Journal of Mathematics	en
dc.rights	https://creativecommons.org/licenses/by/4.0	en
dc.source	Proyecciones (Antofagasta); Vol. 30 No. 3 (2011); 295-302	en
dc.source	Proyecciones. Revista de Matemática; Vol. 30 Núm. 3 (2011); 295-302	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2011
dc.title	A note on Büchi's problem for p-adic numbers	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion