Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Flora, Jeba S.; Roy, Anirban; Mahanta, Pankaj Jyoti; Saikia, Manjil P. Title A name given to the resource ON NEAR Fk-PERFECT AND DEFICIENT Fk-PERFECT NUMBERS Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Integers;Volume;25;Issue;;Article No.;A86; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.5281/zenodo.17144463" target="_blank" rel="noreferrer noopener">https://doi.org/10.5281/zenodo.17144463</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105017153072?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105017153072?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Flora J.S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Roy A., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India; Mahanta P.J., Department of Mathematical Sciences, Tezpur University, Assam, Napaam, India; Saikia M.P., Mathematical and Physical Sciences division, School of Arts and Sciences, Ahmedabad University, Navrangpura, Gujarat, Ahmedabad, India Description An account of the resource For a positive integer n, the arithmetic function ?2(n) denotes the sum of squares of all the divisors of n. A positive integer n is called an F-perfect number if ?2(n) ? n2 = 3n. A positive integer n is termed a near F-perfect number if ?2(n) ? n2 ? d2 = 3n, where d is a proper divisor of n. Similarly, n is considered a deficient F-perfect number if ?2(n) ? n2 + d2 = 3n, where d is a proper divisor of n. In this paper, we discuss several characterizations of these numbers, establish their relations with other significant numbers, and generalize the near-perfect and deficient-perfect numbers. 2025, Colgate University. All rights reserved. Publisher An entity responsible for making the resource available Colgate University Relation A related resource ISSN: 15531732; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online