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

dc.rights.license	CC BY	eng
dc.contributor.author	Trojovský, Pavel	cze
dc.date.accessioned	2025-12-05T09:06:10Z
dc.date.available	2025-12-05T09:06:10Z
dc.date.issued	2020	eng
dc.identifier.issn	2227-7390	eng
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1035
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"	eng
dc.language.iso	eng	eng
dc.publisher	MDPI-Molecular diversity preservation international	eng
dc.relation.ispartof	Mathematics, volume 8, issue: 6	eng
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	eng
dc.identifier.obd	43876519	eng
dc.identifier.doi	10.3390/math8060876	eng
dc.publicationstatus	postprint	eng
dc.peerreviewed	yes	eng
dc.source.url	https://www.mdpi.com/2227-7390/8/6/876	cze
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/6/876	eng
dc.rights.access	Open Access	eng