On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function

dc.contributor.author	Hubálovský, Štěpán
dc.contributor.author	Trojovská, Eva
dc.date.accessioned	2025-12-05T09:22:46Z
dc.date.available	2025-12-05T09:22:46Z
dc.date.issued	2020
dc.description.abstract	Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest positive integer k such that Fk equivalent to 0(modn). In this paper, we shall find all positive solutions of the Diophantine equation z(phi(n))=n, where phi is the Euler totient function.	eng
dc.format	p. "Article Number: 1796"
dc.identifier.doi	10.3390/math8101796
dc.identifier.issn	2227-7390
dc.identifier.obd	43876909
dc.identifier.scopus	2-s2.0-85093081251
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1122
dc.identifier.wos	000585292100001
dc.language.iso	eng
dc.peerreviewed	yes
dc.publicationstatus	postprint
dc.publisher	MDPI-Molecular diversity preservation international
dc.relation.ispartof	Mathematics, volume 8, issue: 10	eng
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/10/1796
dc.rights.access	Open Access
dc.rights.license	CC BY
dc.source.url	https://www.mdpi.com/2227-7390/8/10/1796
dc.subject	Fibonacci numbers	eng
dc.subject	order of appearance	eng
dc.subject	Euler totient function	eng
dc.subject	fixed points	eng
dc.subject	Diophantine equations.	eng
dc.title	On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function	eng
dc.type	article

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