11 Temmuz 2025 Dergi makalesi Açık Erişim

Sarı, S.; Karadeniz-Gözeri, G.

JSON-LD (schema.org)

{
  "@context": "https://schema.org/", 
  "@id": 286457, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@id": "https://orcid.org/0000-0002-1080-6513", 
      "@type": "Person", 
      "affiliation": "\u0130stanbul \u00dcniversitesi", 
      "name": "Sar\u0131, S."
    }, 
    {
      "@id": "https://orcid.org/0000-0003-2258-8266", 
      "@type": "Person", 
      "affiliation": "\u0130stanbul \u00dcniversitesi", 
      "name": "Karadeniz-G\u00f6zeri, G."
    }
  ], 
  "datePublished": "2025-07-11", 
  "description": "<p>In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of $D$ in the Diophantine equations&nbsp;provided by subbalancing numbers. For this, first we prove&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.</p>", 
  "headline": "On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers", 
  "identifier": 286457, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers", 
  "url": "https://aperta.ulakbim.gov.tr/record/286457"
}