<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T01:39:40Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12058" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12058</identifier><datestamp>2026-10-18T20:27:00Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>The r-circulant Matrices Associated with k-Fermat and k-Mersenne Numbers</dc:title><dc:creator>Kuloǧlu, Bahar</dc:creator><dc:creator>Eser, Engin</dc:creator><dc:creator>Özkan, Engin</dc:creator><dc:subject>Circulant matrices</dc:subject><dc:subject>Eigenvalues</dc:subject><dc:subject>k-Fermat number</dc:subject><dc:subject>k-Merssenne number</dc:subject><dc:subject>Norm (Spectral and Euclidean)</dc:subject><dc:description>In this study, the main goal is to investigate the r-circulant matrices of k-Fermat and k-Mersenne numbers, then to find eigenvalues, determinants of these matrices, to evaluate their different norms (Spectral and Euclidean) and finally to find the right and skew-right circulant matrices. © 2023 World Scientific and Engineering Academy and Society. All rights reserved.</dc:description><dc:publisher>World Scientific and Engineering Academy and Society</dc:publisher><dc:date>2023</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/12058</dc:identifier><dc:identifier>https://doi.org/10.37394/23206.2023.22.59</dc:identifier><dc:identifier>1109-2769</dc:identifier><dc:language>en</dc:language><dc:relation>WSEAS Transactions on Mathematics</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12058</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>