11 Temmuz 2025 Dergi makalesi Açık Erişim

Sarı, S.; Karadeniz-Gözeri, G.

Citation Style Language JSON

{
  "DOI": "10.1155/jom/2173041", 
  "abstract": "<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>", 
  "author": [
    {
      "family": "Sar\u0131", 
      "given": " S."
    }, 
    {
      "family": "Karadeniz-G\u00f6zeri", 
      "given": " G."
    }
  ], 
  "container_title": "JOURNAL OF MATHEMATICS", 
  "id": "286457", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2025, 
        7, 
        11
      ]
    ]
  }, 
  "page": "2173041", 
  "title": "On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers", 
  "type": "article-journal", 
  "volume": "2025"
}