Hdl Handle:
http://hdl.handle.net/10545/583372
Title:
On some functions involving the lcm and gcd of integer tuples
Authors:
Bagdasar, Ovidiu ( 0000-0003-4193-9842 )
Abstract:
In this paper an explicit formula for the number of tuples of positive integers having the same lowest common multiple n is derived, and some of the properties of the resulting arithmetic function are analyzed. The tuples having also the same greatest common divisor are investigated, while some novel or existing integer sequences are recovered as particular cases. A formula linking the gcd and lcm for tuples of integers is also presented.
Affiliation:
University of Derby
Citation:
Bagdasar, O. (2014) 'On some functions involving the lcm and gcd of integer tuples' Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, 6 (2):91
Journal:
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
Issue Date:
Jun-2014
URI:
http://hdl.handle.net/10545/583372
DOI:
10.5937/SPSUNP1402091B
Additional Links:
http://scindeks.ceon.rs/Article.aspx?artid=2217-55391402091B
Type:
Article
Language:
en
ISSN:
2217-5539
Appears in Collections:
Department of Electronics, Computing & Maths

Full metadata record

DC FieldValue Language
dc.contributor.authorBagdasar, Ovidiuen
dc.date.accessioned2015-12-08T09:09:28Zen
dc.date.available2015-12-08T09:09:28Zen
dc.date.issued2014-06en
dc.identifier.citationBagdasar, O. (2014) 'On some functions involving the lcm and gcd of integer tuples' Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, 6 (2):91en
dc.identifier.issn2217-5539en
dc.identifier.doi10.5937/SPSUNP1402091Ben
dc.identifier.urihttp://hdl.handle.net/10545/583372en
dc.description.abstractIn this paper an explicit formula for the number of tuples of positive integers having the same lowest common multiple n is derived, and some of the properties of the resulting arithmetic function are analyzed. The tuples having also the same greatest common divisor are investigated, while some novel or existing integer sequences are recovered as particular cases. A formula linking the gcd and lcm for tuples of integers is also presented.en
dc.language.isoenen
dc.relation.urlhttp://scindeks.ceon.rs/Article.aspx?artid=2217-55391402091Ben
dc.rightsArchived with thanks to Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanicsen
dc.subjectDivisibilityen
dc.subjectLowest common multipleen
dc.subjectGreatest common divisoren
dc.subjectInteger sequencesen
dc.titleOn some functions involving the lcm and gcd of integer tuplesen
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalScientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanicsen
cr.approval.ethicalnullen
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