11 Temmuz 2025 Dergi makalesi Açık Erişim

Sarı, S.; Karadeniz-Gözeri, G.

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        "affiliation": "\u0130stanbul \u00dcniversitesi", 
        "name": "Sar\u0131, S.", 
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        "affiliation": "\u0130stanbul \u00dcniversitesi", 
        "name": "Karadeniz-G\u00f6zeri, G.", 
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    "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>", 
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      "issue": "1", 
      "pages": "2173041", 
      "title": "JOURNAL OF MATHEMATICS", 
      "volume": "2025"
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    "license": {
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    "publication_date": "2025-07-11", 
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      "Temel Bilimler > Matematik"
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    "title": "On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers", 
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        "program": "1002", 
        "project_number": "123F048", 
        "workgroup": "MFAG"
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