11 Temmuz 2025 Dergi makalesi Açık Erişim

Sarı, S.; Karadeniz-Gözeri, G.

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/286457</identifier>
  <creators>
    <creator>
      <creatorName>Sarı, S.</creatorName>
      <givenName>S.</givenName>
      <familyName>Sarı</familyName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-1080-6513</nameIdentifier>
      <affiliation>İstanbul Üniversitesi</affiliation>
    </creator>
    <creator>
      <creatorName>Karadeniz-Gözeri, G.</creatorName>
      <givenName>G.</givenName>
      <familyName>Karadeniz-Gözeri</familyName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0003-2258-8266</nameIdentifier>
      <affiliation>İstanbul Üniversitesi</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On The Existence Of Solutions Of Diophantine Equations Related To Subbalancing Numbers</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2025</publicationYear>
  <dates>
    <date dateType="Issued">2025-07-11</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
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    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/286457</alternateIdentifier>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1155/jom/2173041</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of $D$ in the Diophantine equations&amp;nbsp;provided by subbalancing numbers. For this, first we prove&amp;nbsp;that when the values of the positive integer $D$ are chosen as balancing numbers, there exist integer solutions of the Diophantine equations that correspond to these values of $D$. Then, we obtain the sequence of $B_ m$-subbalancing numbers as the solutions of these Diophantine equations. Moreover, we especially consider $B_3$-subbalancing numbers and obtain various algebraic identities regarding these numbers. Furthermore, we derive some results on the relationship between $B_3$-subbalancing and $b_3$-subbalancing numbers.&lt;/p&gt;</description>
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    <fundingReference>
      <funderName>Türkiye Bilimsel ve Teknolojik Araştirma Kurumu</funderName>
      <funderIdentifier funderIdentifierType="Crossref Funder ID">https://doi.org/10.13039/501100004410</funderIdentifier>
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