On the p-th root of a p-adic number

Simple item page
dc.creatorDi Bartolo, Alfonso
dc.creatorFalcone, Giovanni
dc.date2007-08-16
dc.date.accessioned2026-07-07T08:23:55Z
dc.date.available2026-07-07T08:23:55Z
dc.descriptionWe give a sufficient and necessary condition for a p-adic integer to have p-th root in the ring of p-adic integers. The same condition holds clearly for residues modulo p^k. We give a proof that Fermat's last theorem is false for p-adic integers and for residues mod p^k.
dc.description7 pages, no figure, submitted
dc.identifierhttps://arxiv.org/abs/0708.2214
dc.identifierhttp://arxiv.org/abs/0708.2214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136169
dc.subjectNumber Theory
dc.subject11S99; 13K05
dc.titleOn the p-th root of a p-adic number
dc.typetext

Files

Collections

arXiv