11 Temmuz 2025 Dergi makalesi Açık Erişim

Sarı, S.; Karadeniz-Gözeri, G.

Dublin Core

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  <dc:creator>Sarı, S.</dc:creator>
  <dc:creator>Karadeniz-Gözeri, G.</dc:creator>
  <dc:date>2025-07-11</dc:date>
  <dc:description>In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of $D$ in the Diophantine equations provided by subbalancing numbers. For this, first we prove 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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/286457</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:286457</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>JOURNAL OF MATHEMATICS 2025(1) 2173041</dc:source>
  <dc:title>On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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