On Pillai's problem with the Fibonacci and Pell sequences

Hernández Hernández, Santos; Florian, Luca; Rivera Martínez, Luis Manuel

DSpace Principal
→
Doctorado en Ciencias Básicas
→
*Documentos Académicos*-- Doc. en Ciencias Básicas
→
Ver ítem

dc.contributor	132236	es_ES
dc.coverage.spatial	Global	es_ES
dc.creator	Hernández Hernández, Santos
dc.creator	Florian, Luca
dc.creator	Rivera Martínez, Luis Manuel
dc.date.accessioned	2021-05-18T14:10:16Z
dc.date.available	2021-05-18T14:10:16Z
dc.date.issued	2019
dc.identifier	info:eu-repo/semantics/submittedVersion	es_ES
dc.identifier.issn	2296-4495	es_ES
dc.identifier.uri	http://ricaxcan.uaz.edu.mx/jspui/handle/20.500.11845/2489
dc.description.abstract	Let (Fn)n≥0 and (Pn)n≥0 be the Fibonacci and Pell sequences given by the initial conditions F0 = 0, F1 = 1, P0 = 0, P1 = 1 and the recurrence formulas Fn+2 = Fn+1 + Fn, Pn+2 = 2Pn+1 + Pn for all n ≥ 0, respectively. In this note, we study the Pillai type problem: Fn − Pm = Fn1 − Pm1 in non-negative integer pairs (n,m) = (n1,m1). We completely solve this equation.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	SPRINGER	es_ES
dc.relation	https://link.springer.com/article/10.1007/s40590-018-0223-9	es_ES
dc.relation.ispartof	https://www.springer.com/journal/40590	es_ES
dc.relation.uri	generalPublic	es_ES
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 Estados Unidos de América	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	Boletín de la Sociedad Matemática Mexicana Vol. 25, pp. 495–507	es_ES
dc.subject.classification	CIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]	es_ES
dc.subject.other	Fibonacci	es_ES
dc.subject.other	Pillai’s type problem	es_ES
dc.subject.other	Pell sequences	es_ES
dc.subject.other	Linear form in logarithms	es_ES
dc.title	On Pillai's problem with the Fibonacci and Pell sequences	es_ES
dc.type	info:eu-repo/semantics/article	es_ES