On the Growth of Some Functions Related to z(n)

dc.contributor.author	Trojovský, Pavel
dc.date.accessioned	2025-12-05T09:06:10Z
dc.date.available	2025-12-05T09:06:10Z
dc.date.issued	2020
dc.description.abstract	The order of appearance z: Z(>0) -> Z(>0) is an arithmetic function related to the Fibonacci sequence (F-n)(n). This function is defined as the smallest positive integer solution of the congruence F-k equivalent to 0(mod n). In this paper, we shall provide lower and upper bounds for the functions Sigma(n <= x)z(n)/n, Sigma(p <= x)z(p) and Sigma(pr <= x)z(p(r)).	eng
dc.format	p. "Article Number: 876"
dc.identifier.doi	10.3390/math8060876
dc.identifier.issn	2227-7390
dc.identifier.obd	43876519
dc.identifier.scopus	2-s2.0-85086005324
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1035
dc.identifier.wos	000554692100001
dc.language.iso	eng
dc.peerreviewed	yes
dc.publicationstatus	postprint
dc.publisher	MDPI-Molecular diversity preservation international
dc.relation.ispartof	Mathematics, volume 8, issue: 6	eng
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/6/876
dc.rights.access	Open Access
dc.rights.license	CC BY
dc.source.url	https://www.mdpi.com/2227-7390/8/6/876
dc.subject	asymptotic	eng
dc.subject	arithmetic functions	eng
dc.subject	inequalities	eng
dc.subject	Fibonacci sequence	eng
dc.subject	order of appearance	eng
dc.subject	Landau symbols	eng
dc.title	On the Growth of Some Functions Related to z(n)	eng
dc.type	article

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